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Chapter 3: Q. 243 (page 374)

In the following exercises, 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 the leg rounded to nearest tenth is10.3.

Step by step solution

01

Step 1. Given information

Given triangle is

We have to find the length of the leg using The Pythagoreos Theorem.

02

Step 2. The Pythagorean Theorem 

In a right angle triangle,

c2=a2+b2

Here cis the length of the hypotenuse and a,bare the lengths of the legs of the triangle.

03

Step 3. Finding the length of the Leg

In the given triangle

c=13a=8

Let's say the length of the other leg is b, therefore according to the Pythagorean theorem:

c2=a2+b2鈬�132=82+b2鈬�169=64+b2鈬�b2=105鈬�b=105鈬�b鈮�10.3

Therefore the length of the leg rounded to the nearest tenth is10.3

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