Basic Geometry : Right Triangles

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #1 : How To Find An Angle In A Right Triangle

The right triangle  has two equal angles, what is each of their measures?

Possible Answers:

Correct answer:

Explanation:

The internal angles of a triangle always add up to 180 degrees, and it was given that the triangle was right, meaning that one of the angles measures 90 degrees.

This leaves 90 degrees to split evenly between the two remaining angles as was shown in the question.

Therefore, each of the two equal angles has a measure of 45 degrees.

Example Question #1 : How To Find An Angle In A Right Triangle

What is the missing angle in this right triangle?

Missing right angle 1

Possible Answers:

Correct answer:

Explanation:

The angles of a triangle all add up to .

This means that .

Using the fact that 90 is half of 180, we can figure out that the missing angle, x, plus 34 adds to the remaining 90, and we can just subtract

.

Example Question #2 : How To Find An Angle In A Right Triangle

Solve for :

Missing right angle 2

Possible Answers:

Correct answer:

Explanation:

The angles of a triangle add together to 180 degrees. We already know that one of the angles is 90 degrees, so we can subtract 90 from 180: the other 2 angles have to add to 90 degrees.

We can now subtract to get x:

Example Question #521 : Triangles

Determine the missing angle in this right triangle:

Missing right angle 3

Possible Answers:

Correct answer:

Explanation:

The angles of a triangle always add to 180 degrees.

That means that in this case,

since we know that the right angle is 90 degrees.

There are a few ways we can move on from here, but one is to simplify this equation:

now subtract 145

Example Question #11 : How To Find An Angle In A Right Triangle

Find the measurement of .

1

Possible Answers:

Correct answer:

Explanation:

Recall that the angles inside of a triangle must add up to . The small square in the corner of the triangle indicates that it is a right angle that measures  degrees.

Thus, for the triangle in question,

Example Question #12 : How To Find An Angle In A Right Triangle

Find the measurement of .

2

Possible Answers:

Correct answer:

Explanation:

Recall that the angles inside of a triangle must add up to . The small square in the corner of the triangle indicates that it is a right angle that measures  degrees.

Thus, for the triangle in question,

Example Question #13 : How To Find An Angle In A Right Triangle

Find the measurement of .

3

Possible Answers:

Correct answer:

Explanation:

Recall that the angles inside of a triangle must add up to . The small square in the corner of the triangle indicates that it is a right angle that measures  degrees.

Thus, for the triangle in question,

Example Question #12 : How To Find An Angle In A Right Triangle

Find the measurement of .

4

Possible Answers:

Correct answer:

Explanation:

Recall that the angles inside of a triangle must add up to . The small square in the corner of the triangle indicates that it is a right angle that measures  degrees.

Thus, for the triangle in question,

Example Question #11 : How To Find An Angle In A Right Triangle

Find the measurement of .

5

Possible Answers:

Correct answer:

Explanation:

Recall that the angles inside of a triangle must add up to . The small square in the corner of the triangle indicates that it is a right angle that measures  degrees.

Thus, for the triangle in question,

Example Question #14 : How To Find An Angle In A Right Triangle

Find the measurement of .

6

Possible Answers:

Correct answer:

Explanation:

Recall that the angles inside of a triangle must add up to . The small square in the corner of the triangle indicates that it is a right angle that measures  degrees.

Thus, for the triangle in question,

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