Special Right Triangles 45-45-90 and 30-60-90

Special Right Triangles 45-45-90 and 30-60-90

Assessment

Flashcard

Mathematics

10th - 12th Grade

Hard

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16 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 sides opposite the 45° angles are equal, and the hypotenuse is √2 times the length of each leg.

2.

FLASHCARD QUESTION

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30°, 60°, and 90°. The side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is √3 times the length of the side opposite the 30° angle.

3.

FLASHCARD QUESTION

Front

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

Back

If each leg is 'x', then the hypotenuse is 'x√2'.

4.

FLASHCARD QUESTION

Front

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

Back

If the shorter leg (opposite the 30° angle) is 'x', then the longer leg (opposite the 60° angle) is 'x√3' and the hypotenuse is '2x'.

5.

FLASHCARD QUESTION

Front

Find the length of the hypotenuse in a 45-45-90 triangle with legs of length 7.

Back

7√2

6.

FLASHCARD QUESTION

Front

Find the length of the longer leg in a 30-60-90 triangle if the shorter leg is 3.

Back

3√3

7.

FLASHCARD QUESTION

Front

What is the measure of the angles in a 45-45-90 triangle?

Back

45°, 45°, and 90°.

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