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Chapter 2: Q. 2.68 (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 12.

Step by step solution

01

Step 1. Given Information

Length of one leg is 9 and Length of hypotenuse is 15.

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:

92+b2=152

03

Step 3. Solve the equation. 81+b2=225

Isolate the variable term.

b2=225-81b2=144

Use the definition of square root.

b=144

Simplify.

b=12

04

Step 4. Check. 

92+122=15281+144=225225=225verified

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In the following exercises, use the Pythagorean theorem to find the length of the leg. Round to the nearest tenth if necessary.

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