Special Right Triangles

Special Right Triangles

11th Grade

15 Qs

quiz-placeholder

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Special Right Triangles

Special Right Triangles

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Medium

Created by

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is a 45°-45°-90° triangle?

A triangle with angles of 30°, 60°, and 90°.

A special right triangle where the angles are 45°, 45°, and 90°. The sides opposite the 45° angles are equal, and the length of the hypotenuse is @@\text{leg} \times \sqrt{2}@@.

A triangle where all sides are equal in length.

A triangle with one angle measuring 90° and the other two angles measuring 45° and 45°.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If the shorter leg of a 30°-60°-90° triangle is x, what is the length of the longer leg?

@@x@@

@@x + 1@@

@@x ext{√3}@@

@@2x@@

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What type of triangle is formed by the angles 45°, 45°, and 90°?

Equilateral triangle

Isosceles triangle

45°-45°-90° triangle

Scalene triangle

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is a 30°-60°-90° triangle?

A special right triangle where the angles are 30°, 60°, and 90°. The ratio of the lengths of the sides is 1 : @@ ext{√3}@@ : 2.

A triangle with angles measuring 30°, 30°, and 120°.

A triangle where all sides are equal in length.

A right triangle with angles measuring 45°, 45°, and 90°.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the sum of the angles in any triangle?

90°

180°

360°

270°

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If the leg of a 45°-45°-90° triangle is 10, what is the length of the hypotenuse?

10

10√2

20

5√2

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

In a 30°-60°-90° triangle, if the hypotenuse is 12, what is the length of the longer leg?

6√3

6

12

4√3

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