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Chapter 8: Q.27 (page 553)

Geometry

The hypotenuse of a right triangle is 12 feet. If one leg is 8 feet, find the degree measure of each angle.

Short Answer

Expert verified

The angles of a triangle are

A=48.2B=41.8C=90

Step by step solution

01

Step 1. Given information

The given data ishypotenuseh=12perpendicularp=8

02

Step 2. Find one of the angles of a right angle triangle

Let Bbe the angle

ThensinB=phsinB=812=23B=41.8

03

Step 3. Find another angle in the triangle

Since the given triangle is right angle triangle,

So let C=90and B=41.8

the sum of the angle is 180

A+B+C=180A+41.8+90=180A=48.2

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