Special Right Triangles

Special Right Triangles

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Easy

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

Standards-aligned

Created by

Wayground Content

Used 1+ times

FREE Resource

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15 questions

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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 a leg.

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What is the relationship between the legs and hypotenuse in a 45-45-90 triangle?

Back

If the length of each leg is 'a', then the hypotenuse is 'a√2'.

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30°, 60°, and 90°. The sides are in the ratio 1:√3:2.

Tags

CCSS.HSG.CO.C.10

4.

FLASHCARD QUESTION

Front

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

Back

If the length of the short leg (opposite the 30° angle) is 'a', then the long leg (opposite the 60° angle) is 'a√3' and the hypotenuse is '2a'.

Tags

CCSS.HSG.CO.C.10

5.

FLASHCARD QUESTION

Front

How do you find the hypotenuse in a 30-60-90 triangle if given the short leg?

Back

Multiply the length of the short leg by 2.

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

How do you find the long leg in a 30-60-90 triangle if given the short leg?

Back

Multiply the length of the short leg by √3.

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

In a 45-45-90 triangle, if one leg is 4, what is the length of the hypotenuse?

Back

4√2.

Tags

CCSS.8.G.B.8

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