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Chapter 3: Q. 237 (page 374)

Use the Pythagorean Theorem. In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse.

Short Answer

Expert verified

The length of the hypotenuse is25.

Step by step solution

01

Step 1. Given information

Given triangle is:

We have to find the length of the hypotenuse using The Pythagoreos Theorem.

02

Step 2. The Pythagorean Theorem

In a right angle triangle,

c2=a2+b2

Herec is the length of the hypotenuse anda,b are the lengths of the legs of the triangle.

03

Step 3. Finding the length of the hypotenuse

In the given triangle:

a=15b=20

Let cis the length of the hypotenuse, therefore according to the Pythagorean theorem:

c2=202+152鈬�c2=400+225鈬�c2=625鈬�c=625鈬�c=25

Therefore the length of the hypotenuse is25.

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