The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.

no.

jizz in your mouth

A scalene triangle can be identified by the inequality of the lengths of its sides and size of its angles.

Obtuse

Sure, that is exactly what the triangle inequality tells us!

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

The triangle inequality theory means that the two short sides of a triangle has to be greater when added up,than the longer side.

Ex) 2+2=4(for the two smaller sides)

The longer side being 2,so the other two sides are greater.Then can also it be a trinagle.

The triangle inequality theory means that the two short sides of a triangle has to be greater when added up,than the longer side.

Ex) 2+2=4(for the two smaller sides)

The longer side being 2,so the other two sides are greater.Then can also it be a trinagle.

The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Specifically, if a triangle has sides of lengths (a), (b), and (c), then the following inequalities must hold: (a + b > c), (a + c > b), and (b + c > a). This theorem is fundamental in geometry as it ensures that a valid triangle can be formed with the given side lengths.

It is not possible to have a triangle with sides of those lengths. The two shortest sides of a triangle must always add to more than the longest side. This is known as the triangle inequality.

To prove the triangle inequality using proof by cases, we analyze the possible relationships between the sides of the triangle. For two sides (a) and (b), we consider three cases: when both (a) and (b) are positive, when one is zero, and when one or both are negative. In each case, we show that the sum of the lengths of any two sides is always greater than or equal to the length of the remaining side, thereby satisfying the triangle inequality: (a + b \geq c), (a + c \geq b), and (b + c \geq a). This structured approach confirms the validity of the inequality under all possible scenarios.

A triangle can only exist if the lengths of its sides satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. Since you've provided only one side length (15150.03), we cannot determine if a triangle is possible without the lengths of the other two sides. If you provide additional side lengths, we can assess their validity based on the triangle inequality.

Triangle inequality says that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Since 15 + 5 = 20 < 25, we cannot draw a triangle.

This is a very confusing question. I can only guess you mean is there a triangle with sides of lengths 50, 50, and 130? The answer is no. 130 is more than 50 + 50 (100), so the triangle inequality is not satisfied.

No, By the triangle inequality theorem (or something like that), the sum of any two sides of a triangle must add up to be greater than the third side. 8+7

It says the sum of the lengths of any 2 sides of a triangle must be greater than the third side. Not equal to but GREATER than the third side.

It's the statement that in any triangle, the sum of the lengths of any two sides must be greater or equal to the length of the third side.

SAS Inequality Theorem the hinge theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.

A triangle formed from three given side lengths can be either unique or non-unique depending on the specific lengths. If the triangle inequality theorem is satisfied (the sum of the lengths of any two sides must be greater than the length of the third side), then only one unique triangle can be formed. However, if the side lengths are such that they can form a degenerate triangle (where the sum of two sides equals the third), or if two sides are equal and the third side allows for more than one valid configuration (as in some cases with isosceles triangles), more than one triangle can potentially be formed. In general, for three distinct side lengths that satisfy the triangle inequality, only one triangle exists.

Yes. The side lengths of a triangle may measure 6, 8, and 10. It satisfies the triangle inequality (the sum of any two sides is greater than the third). Moreover, it forms a multiple of the common 3-4-5 right triangles.

The triangle with one side measuring 4 inches and two sides measuring 6 inches is an isosceles triangle. In this type of triangle, two sides are of equal length, which in this case are the two 6-inch sides, while the third side is different. Additionally, the triangle satisfies the triangle inequality theorem, confirming that it can exist.

The measure of an exterior angle of a triangle is more than the measure of the intersection of two straight lines.

An example of a lemma in mathematics is the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Lemmas are used as stepping stones to prove more complex theorems.

The shortest distance between any two points, A and B, in a plane is the straight line joining them.

Suppose, that the distance A to C and then C to B is shorter where C is any point not on AB. That would imply that, in triangle ABC, the sum of the lengths of two sides (AC and CB) is shorter tan the third side (AB). That contradicts the inequality conjecture.

The triangle with side lengths of 2m, 4m, and 7m does not form a valid triangle. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 2m + 4m is less than 7m, violating the theorem. Therefore, a triangle with these side lengths cannot exist in Euclidean geometry.

4+9>5

5+9>4

4+5 is not greater than 9

No, since it doesn't comply with the Triangle Inequality Theorem (the sum of the lengths of any two sides of a triangle is greater than the length of the third side)

To determine the lengths of the other two sides of a triangle with a base of 8, we need additional information, such as the height of the triangle or the angles involved. Without specific constraints, there are infinitely many triangles that can be formed with a base of 8. For example, if it's a right triangle, the other sides could vary based on the height. In general, the lengths must also satisfy the triangle inequality theorem.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

"x281" is an expression, not an inequality. An inequality is supposed to have an inequality sign, such as "<" or ">".

In a triangle, the longest side is opposite the largest angle. According to the triangle inequality theorem, if one side is longer than another, the angle opposite the longer side must also be larger. Conversely, the smallest side is opposite the smallest angle. This relationship helps in determining the relative lengths of sides and measures of angles within a triangle.

Yes, you can form a triangle with the lengths 20, 22, and 24. According to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 20 + 22 > 24, 20 + 24 > 22, and 22 + 24 > 20 are all true, confirming that these lengths can indeed form a triangle.

In a triangle, the side opposite the greater angle is referred to as the longest side. This relationship is established by the triangle inequality theorem, which states that in any triangle, the larger the angle, the longer the side opposite that angle. Therefore, if one angle is greater than another, the side opposite the greater angle will also be longer than the side opposite the smaller angle.

No, according to to the Triangular Inequality, A+B can never be larger than C.

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Opinion #2:

It seems to me that A+B must be larger than C,
otherwise you can't make a triangle with them.

You cannot construct a triangle ABC if the lengths of the sides do not satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. For example, if the side lengths are 2, 3, and 6, then 2 + 3 is not greater than 6, making it impossible to form a triangle. Additionally, if any side length is zero or negative, a triangle cannot be formed.

No, it is not possible to draw a triangle with side lengths of 150, 20, and 20. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 20 + 20 is less than 150, so the given side lengths do not satisfy this theorem, making it impossible to form a triangle.

No, a triangle cannot have side lengths of 1 cm, 2 cm, and 3 cm because they do not satisfy the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 1 cm + 2 cm is not greater than 3 cm, so a triangle cannot be formed with these lengths.

To determine if segments of lengths 8, 7, and 15 can form a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. Here, 8 + 7 = 15, which is not greater than 15. Therefore, segments of lengths 8, 7, and 15 cannot form a triangle.

Yes, a triangle can have side lengths of 6, 8, and 9. To determine if these lengths can form a triangle, we can apply the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 6 + 8 > 9, 6 + 9 > 8, and 8 + 9 > 6 all hold true, confirming that a triangle can indeed be formed with these side lengths.

The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This ensures that the sides can connect to form a closed shape, thereby satisfying the properties of a triangle. If the sum of two sides were equal to or less than the third side, it would either create a straight line or fail to connect, violating the definition of a triangle.

To determine if a triangle is acute given its side lengths (a), (b), and (c), first ensure that it satisfies the triangle inequality: (a + b > c), (a + c > b), and (b + c > a). Next, check the squares of the sides: if (a^2 + b^2 > c^2), (a^2 + c^2 > b^2), and (b^2 + c^2 > a^2), then the triangle is acute. If any of these conditions are not met, the triangle is either right or obtuse.

Although it is often intuited as a distance metric, the KL divergence is not a true metric, as the Kullback-Leibler divergence is not symmetric, nor does it satisfy the triangle inequality.

No, it is not possible to draw a triangle with sides of 150 cm, 10 cm, and 10 cm. According to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 10 cm + 10 cm is not greater than 150 cm.

To determine the number of triangles with a perimeter of 15cm, we need to consider the possible side lengths that can form a triangle. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. With a perimeter of 15cm, the possible side lengths could be (5cm, 5cm, 5cm) for an equilateral triangle, (6cm, 5cm, 4cm) for an isosceles triangle, or (7cm, 5cm, 3cm) for a scalene triangle. Therefore, there are 3 possible triangles that can have a perimeter of 15cm.

The triangle with side lengths of 3 cm, 4 cm, and 6 cm is a scalene triangle, as all three sides have different lengths. To determine if it forms a valid triangle, we can apply the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 3 + 4 > 6, 3 + 6 > 4, and 4 + 6 > 3 are all satisfied, confirming that these sides can indeed form a triangle.

To determine if you can make more than one triangle with a given set of side lengths, you can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. If the side lengths meet this condition, you can form a triangle, but if the side lengths are the same (like in the case of an equilateral triangle), only one unique triangle can be formed. Additionally, if the angles are not specified and the side lengths allow for different arrangements, multiple triangles may be possible.

There is no inequality since there is no inequality sign.

4 < x < 20

5 < x < 9

You have to take the triangle inequality into account: no side can be longer than the two other sides together. That makes the minimum size for the third side 3 cm., and the maximum, 7 cm. To be more accurate, 3 cm < length < 7 cm.