Why is the Pythagorean theorem useful?

Answer 1

The Pythagorean Theorem (A² + B² = C² ) is used to help you find the hypotenuse (long side of a right triangle.)

For example imagine that the 2 legs of a right triangle are 10 and 12 and you are trying to find out the long side (hypotenuse.) what you have to do is plug in the numbers in the formula.

Step1:10²+12²=c²

do 10 times 10 because it is squared and do the same with 12 and should look like this:

Step 2: 10²= 100 , and 12²=144

Then what you do is add 100+144

Step 3: 100+144=244

Last step is to find the square root 144 to find what c² is

Step4: 144 square root= 15.6 and if your rounding it its 16 and you know it right if the hypotenuse is more then the 2 legs

And that's the Pythagorean Theorem

Answer 2

The Pythagorean theorem is useful because it allows us to find the length of one side of a right triangle when we know the lengths of the other two sides. It is a fundamental concept in geometry and is used in various fields such as construction, engineering, and architecture. The theorem also aids in understanding the relationships between the sides of a right triangle and helps solve real-world problems involving distances and measurements.