Basic Geometry : Right Triangles

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #22 : How To Find An Angle In A Right Triangle

If one angle of a right triangle is  what is the measure of the third angle?

Possible Answers:

Correct answer:

Explanation:

First we need to know that when we add up all 3 angles of a triangle, the sum will always equal  (this is the case for all types of triangles). Since we know this is a right triangle, first we subtract  (by definition all right triangles equal ). 

 

We know another angle equals  so we subtract it from  and we get .

Our final answer is .

To check our answer we can add up the three angles to make sure we come up with a sum of 

 

Example Question #351 : Right Triangles

Untitled

True or false: 

Possible Answers:

False

True

Correct answer:

True

Explanation:

By the 30-60-90 Triangle Theorem, the ratio of the length of the longer leg of a 30-60-90 triangle to that of the shorter leg is . In the given triangle, we see that this ratio is

,

the correct ratio. This is indeed a 30-60-90 triangle, and,  being opposite the longer leg, has measure .

Example Question #352 : Right Triangles

A right triangle has side lengths of 5, 10, and 11.18 inches. One angle is 63.4 degrees. What is the measure of the other angle?

Possible Answers:

None of these.

Correct answer:

Explanation:

Since this is a right triangle, simply add this right angle to the given angle and subtract from 180 degrees.

The side lengths are not relevant in this problem.

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