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

$A = 48.2 B = 41.8 C = 90$

Step by step solution

Step 1. Given information

The given data is $h y p o t e n u s e (h) = 12 p e r p e n d i c u l a r (p) = 8$

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

Let $B$ be the angle

Then $\sin B = \frac{p}{h} \sin B = \frac{8}{12} = \frac{2}{3} B = 41.8$

Step 3. Find another angle in the triangle

Since the given triangle is right angle triangle,

So let $C = 90$ and $B = 41.8$

the sum of the angle is 180

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

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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

Step by step solution

Step 1. Given information

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

Step 3. Find another angle in the triangle

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

Short Answer

Step by step solution

Step 1. Given information

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

Step 3. Find another angle in the triangle

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Probability and Statistics

Mechanics Maths

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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