Special Right Triangles

Special Right Triangles

Assessment

Flashcard

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a special right triangle?

Back

A triangle with one angle measuring 90 degrees and specific properties that allow for easier calculations of side lengths.

2.

FLASHCARD QUESTION

Front

What are the two types of special right triangles?

Back

45-45-90 triangle and 30-60-90 triangle.

3.

FLASHCARD QUESTION

Front

In a 45-45-90 triangle, what is the ratio of the lengths of the legs to the hypotenuse?

Back

The legs are equal in length, and the hypotenuse is √2 times the length of each leg.

4.

FLASHCARD QUESTION

Front

In a 30-60-90 triangle, what is the ratio of the lengths of the sides?

Back

The lengths are in the ratio 1:√3:2, where 1 is the length of the shorter leg, √3 is the length of the longer leg, and 2 is the hypotenuse.

5.

FLASHCARD QUESTION

Front

What is the length of the hypotenuse in a 45-45-90 triangle if each leg is 5 units long?

Back

The hypotenuse is 5√2 units long.

6.

FLASHCARD QUESTION

Front

What is the length of the longer leg in a 30-60-90 triangle if the shorter leg is 4 units long?

Back

The longer leg is 4√3 units long.

7.

FLASHCARD QUESTION

Front

What type of triangle is formed by two equal sides and a right angle?

Back

Isosceles right triangle.

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