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Chapter 3: Q. 3.79 (page 363)

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.

Short Answer

Expert verified

The length of the leg isb=8.

Step by step solution

01

Step 1. Given information.

A right triangle is given with the length of hypotenuse and one of its legs as 17,15respectively.

We need to find the length of one of the leg, b.

02

Step 2. Use Pythagorean theorem.

By Pythagorean theorem,

a2+b2=c2b2=c2-a2b=c2-a2

03

Step 3. Substitute the values in the Pythagorean theorem.

We get

b=172-152=289-225=64

By the definition of the square root,

b=8

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