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Chapter 2: Q. 2.67 (page 138)

Use the Pythagorean Theorem to find the length of the leg in the figure.

Short Answer

Expert verified

The length of the leg b is 8.

Step by step solution

01

Step 1. Given Information

Length of one leg is 15 and Length of hypotenuse is 17.

We have to find the length of the leg b of the triangle.

02

Step 2. Translate.

Write the appropriate formula.

a2+b2=c2

Substitute.

152+b2=172

03

Step 3. Solve the equation.225+b2=289

Isolate the variable term.

b2=289-225b2=64

Use the definition of square root.

b=64

Simplify.

b=8

04

Step 4. Check.

152+82=172225+64=289289=289verified

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