Special Right Triangles
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
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15 questions
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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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