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Chapter 3: Q. 238 (page 374)

Use the Pythagorean Theorem

In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse.

Short Answer

Expert verified

The length of the hypotenuse is13.

Step by step solution

01

Step 1. Given information

Given triangle is

We have to find the length of the hypotenuse 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 hypotenuse

In the given trianglea=12b=5

Let cis the length of the hypotenuse, therefore according to the Pythagorean theorem:

c2=122+52鈬�c2=144+25鈬�c2=169鈬�c=169鈬�c=13

Therefore the length of the hypotenuse is13.

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