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Chapter 2: Q. 207 (page 145)

Use the Pythagorean Theorem to find the length of the leg. Round to the nearest tenth if necessary.

Short Answer

Expert verified

The length of leg is 8.

Step by step solution

01

Given information:

From the given right triangle, we have:

the length of one leg be "a",

the length of other leg b=6,

and the length of hypotenusec=10.

02

Step 2:

Formula:a2+b2=c2

03

Step 3:

Substitute the given values in the formula,

a2+62=(10)2

04

Step 4:

On simplifying:

a2+36=100a2=100-36a2=64

05

Step 5:

Take square root on both sides,

a2=64=82a=8

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