30-60-90 Triangles

30-60-90 Triangles

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

CCSS
8.G.B.8, HSG.CO.C.10, HSG.SRT.D.9

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a 30-60-90 triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

2.

FLASHCARD QUESTION

Front

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

Back

In a 30-60-90 triangle, if the shortest side (opposite the 30° angle) is 'x', then the side opposite the 60° angle is 'x√3', and the hypotenuse (opposite the 90° angle) is '2x'.

Tags

CCSS.HSG.CO.C.10

3.

FLASHCARD QUESTION

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle?

Back

If the length of the shorter leg (opposite the 30° angle) is 'a', then the hypotenuse is '2a'.

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

How do you find the length of the longer leg in a 30-60-90 triangle?

Back

If the length of the shorter leg (opposite the 30° angle) is 'a', then the longer leg (opposite the 60° angle) is 'a√3'.

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

If the shorter leg of a 30-60-90 triangle is 6, what is the length of the hypotenuse?

Back

The hypotenuse is 12.

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

If the longer leg of a 30-60-90 triangle is 6√3, what is the length of the shorter leg?

Back

The shorter leg is 6.

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

What is the formula to find the area of a 30-60-90 triangle?

Back

Area = (1/2) * base * height. For a 30-60-90 triangle, Area = (1/2) * (shorter leg) * (longer leg) = (1/2) * x * (x√3) = (√3/2) * x².

Tags

CCSS.HSG.SRT.D.9

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