The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.
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A scalene triangle can be identified by the inequality of the lengths of its sides and size of its angles.
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Sure, that is exactly what the triangle inequality tells us!
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The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
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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.
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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.
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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.
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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.
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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.
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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
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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.
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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.
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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.
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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.
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The measure of an exterior angle of a triangle is more than the measure of the intersection of two straight lines.
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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.
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"x281" is an expression, not an inequality. An inequality is supposed to have an inequality sign, such as "<" or ">".
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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.
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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.
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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.
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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)
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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.
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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.
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There is no inequality since there is no inequality sign.
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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.
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algebraic inequality, is an inequality that contains at least one variable.
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The inequality is maintained with the direction of the inequality unchanged.
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4 < x < 20
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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.
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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.
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There is no inequality in the question so there cannot be an answer.
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To provide a solution, I need the specific inequality you are referring to. Please provide the full inequality so I can assist you better.
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This isn't an inequality, but a mathematical "expression". In order to have an inequality that can be solved, there must be an inequality symbol between two mathematical expressions. Nancy
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Ok, well let me start you off with an example first.
Suppose you have triangle ABC with side lengths 6 and 15. What is the range of the possible values of the third side?
What I would do first is sketch a picture of triangle ABC and assign 6 and 15 to any two sides, it doesn't matter what two sides and I'll show you why in a moment.
To solve this problem, you need to set up an inequality using the Triangle Inequality Theorem. This theorem simply states that any two sides of a triangle must add up to be greater than the third side. To do this, we need to set up two inequalities:
6 + 15 < x and 6 + x > 15.
Simplify both those inequalities to solve for x. You should get x>21 and x>9. Now, all you need to do is set up a compound inequality using those two inequalities you just simplified and you should get:
9<x<21
Easy right? :)
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To determine the number of triangles that can be formed with side lengths of 4m, 4m, and 7m, we can use the triangle inequality theorem. For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 4m + 4m = 8m, which is greater than 7m. Therefore, a triangle can be formed. Since all three sides are equal in length, this triangle is an equilateral triangle. So, there is only one triangle that can be formed with side lengths of 4m, 4m, and 7m.
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An inequality has no magnitude. A number can be greater than or equal to -5, but not an inequality.
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do you think it is deviant for our government to have such inequality?
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