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Chapter 3: Q. 3.77 (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 of the given triangle is10.

Step by step solution

01

Step 1. Given information

A right triangle is given with length of two sides as 6,8.

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

02

Step 2. Use Pythagorean Theorem.

By Pythagorean theorem,

a2+b2=c2a2+b2=c

Substituting values.

c=62+82=36+64=100=10 (use the definition of square root)

So the length of the hypotenuse is 10.

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