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

CCSS
8.G.B.8, HSG.CO.C.10

Standards-aligned

Created by

Wayground Content

FREE Resource

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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.

Tags

CCSS.8.G.B.8

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 lengths of the sides are in the ratio 1:√3:2.

Tags

CCSS.HSG.CO.C.10

3.

FLASHCARD QUESTION

Front

In a 30-60-90 triangle, if the length of the shorter leg is 'x', what is the length of the longer leg?

Back

The longer leg is x√3.

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

In a 30-60-90 triangle, if the length of the hypotenuse is 'h', what is the length of the shorter leg?

Back

The shorter leg is h/2.

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

In a 45-45-90 triangle, if the length of one leg is 'a', what is the length of the hypotenuse?

Back

The hypotenuse is a√2.

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

What is the relationship between the angles and sides in a 30-60-90 triangle?

Back

The side opposite the 30° angle is the shortest, the side opposite the 60° angle is √3 times the shortest, and the hypotenuse is twice the shortest side.

Tags

CCSS.HSG.CO.C.10

7.

FLASHCARD QUESTION

Front

If the hypotenuse of a 45-45-90 triangle is 10, what is the length of each leg?

Back

Each leg is 10/√2 or 5√2.

Tags

CCSS.8.G.B.8

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