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30-60-90 and 45-45-90 Triangles

30-60-90 and 45-45-90 Triangles

Assessment

Flashcard

Mathematics

8th - 12th Grade

Practice Problem

Easy

CCSS
8.G.B.8, HSG.CO.C.10, 8.NS.A.2

+2

Standards-aligned

Created by

Wayground Content

Used 4+ times

FREE Resource

Student preview

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14 questions

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1.

FLASHCARD QUESTION

Front

What are the side lengths of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the side lengths are in the ratio 1 : √3 : 2. The shorter leg (opposite the 30° angle) is 'x', the longer leg (opposite the 60° angle) is 'x√3', and the hypotenuse (opposite the 90° angle) is '2x'.

Tags

CCSS.HSG.CO.C.10

2.

FLASHCARD QUESTION

Front

How do you find the longer leg in a 30-60-90 triangle if the short leg is known?

Back

To find the longer leg, multiply the length of the short leg by √3.

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

What is the approximate decimal value of √3?

Back

The approximate decimal value of √3 is about 1.732.

Tags

CCSS.8.NS.A.2

4.

FLASHCARD QUESTION

Front

What are the side lengths of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the side lengths are in the ratio 1 : 1 : √2. Both legs are equal, and the hypotenuse is '√2' times the length of each leg.

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle?

Back

To find the hypotenuse, multiply the length of one leg by √2.

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

If the leg of a 45-45-90 triangle is 5, what is the length of the hypotenuse?

Back

The hypotenuse is 5√2.

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

What is the value of 4√3 in decimal form?

Back

4√3 is approximately 6.928.

Tags

CCSS.8.NS.A.2

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