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Special Right Triangles Warm Up

Special Right Triangles Warm Up

Assessment

Flashcard

Mathematics

8th - 11th Grade

Practice Problem

Hard

CCSS
8.G.B.8, HSG.CO.C.10, 8.G.B.7

+2

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What are the two special right triangles commonly studied in geometry?

Back

The two special right triangles are the 45-45-90 triangle and the 30-60-90 triangle.

Tags

CCSS.HSG.CO.C.10

2.

FLASHCARD QUESTION

Front

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

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of a leg.

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

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

Back

In a 30-60-90 triangle, the length of the side opposite the 30-degree angle is half the length of the hypotenuse, and the length of the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle.

Tags

CCSS.HSG.CO.C.10

4.

FLASHCARD QUESTION

Front

If the legs of a 45-45-90 triangle are each 8 units long, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 8√2 units.

Tags

CCSS.8.G.B.7

5.

FLASHCARD QUESTION

Front

If the hypotenuse of a 30-60-90 triangle is 10 units, what is the length of the side opposite the 30-degree angle?

Back

The length of the side opposite the 30-degree angle is 5 units.

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

What is the formula for finding the length of the hypotenuse in a 45-45-90 triangle?

Back

The formula is hypotenuse = leg × √2.

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

What is the formula for finding the length of the longer leg in a 30-60-90 triangle?

Back

The formula is longer leg = shorter leg × √3.

Tags

CCSS.8.G.B.8

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