Question

a right triangle has side lengths 15 centimeters, 25 centimeters, and 20 centimeters. How can you use the Pythagorean Theorem to write an equation that describes how the side lengths are related ?

Answer 1

625

The sides of right triangle are related based on Pythagorean Theorem.

Explanation:

Answer 2

The sides of right triangle are related based on Pythagorean Theorem.

Explanation:

Given that,

Side 1 = s1 = 15cm

Side 2 = s2 = 20cm

Side 3 = s3 = 25cm

The general definition of Pythagorean Theorem is that the square of hypotenuse is equal to the sum of square of other two sides in right triangle.

Also, hypotenuse is the largest side of rectangle. So, it is 25 cm.

In that case, the Pythagorean Theorem would be:

`(s3)^(2) = (s2)^(2) + (s1)^(2)`

`(25)^(2) = (20)^(2) + (15)^(2)`

625 = 400 + 225

625 = 625

Hence, the sides of right triangle are related based on Pythagorean Theorem.