Special Right Triangles 45-45-90 and 30-60-90

Special Right Triangles 45-45-90 and 30-60-90

Assessment

Flashcard

Mathematics

10th - 12th Grade

Hard

Created by

Quizizz Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are 45°, 45°, and 90°. The legs are of equal length, and the hypotenuse is √2 times the length of each leg.

2.

FLASHCARD QUESTION

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30°, 60°, and 90°. The length of the side opposite the 30° angle is half the length of the hypotenuse, and the length of the side opposite the 60° angle is √3 times the length of the shorter leg.

3.

FLASHCARD QUESTION

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

If the legs are of length 'a', then the hypotenuse is 'a√2'.

4.

FLASHCARD QUESTION

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

If the shorter leg (opposite the 30° angle) is 'x', then the longer leg (opposite the 60° angle) is 'x√3' and the hypotenuse is '2x'.

5.

FLASHCARD QUESTION

Front

Find the length of the hypotenuse in a 45-45-90 triangle with legs of length 4.

Back

The hypotenuse is 4√2.

6.

FLASHCARD QUESTION

Front

Find the length of the longer leg in a 30-60-90 triangle if the shorter leg is 5.

Back

The longer leg is 5√3.

7.

FLASHCARD QUESTION

Front

What is the value of x in a 30-60-90 triangle if the hypotenuse is 12?

Back

The value of x (the shorter leg) is 6.

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?