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Chapter 3: Q. 3.78 (page 362)

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.

Short Answer

Expert verified

The length of the hypotenuse is 13.

Step by step solution

01

Step 1. Given information.

A right triangle is given with the length of two of its legs as 12,5.

We need to find the length of the hypotenuse, c.

02

Step 2. Use Pythagorean Theorem.

By Pythagorean theorem,

c2=a2+b2c=a2+b2

03

Step 3. Substitute values in the Pythagorean theorem.

We get

c=122+52=144+25=169

Use the definition of square root.

c=13

So the length of the hypotenuse is 13.

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