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Chapter 3: Q. 437 (page 411)

In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.

Short Answer

Expert verified

The length of missing side is10.

Step by step solution

01

Step 1. Given Information 

The length of two sides of a right angled triangle are:

Height =24

Hypotenuse =26

We have to find the base of the triangle using the Pythagorean Theorem.

02

Step 2. Finding the missing side 

Let the base of the triangle be x.

From Pythagorean Theorem we get,

height2+base2=hypotenuse2⇒242+x2=262⇒x2=262-242⇒x2=676-576⇒x2=100⇒x=100⇒x=10

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