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Chapter 3: Q. 3.8 (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 is,b=12.

Step by step solution

01

Step 1. Given information.

A triangle is given with hypotenuse and the length of a leg is 15,9respectively.

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

02

Step 2. Use The Pythagorean Theorem.

By Pythagorean theorem,

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

03

Step 3. Substitute the values in b=c2-a2.

We get

b=152-92=225-81=144

By the definition of square root,

b=12

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