Special Right Triangles
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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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 legs are of equal length, and the hypotenuse is √2 times the length of a leg.
2.
FLASHCARD QUESTION
Front
How do you find the length of a leg in a 45-45-90 triangle if you know the hypotenuse?
Back
Divide the length of the hypotenuse by √2.
3.
FLASHCARD QUESTION
Front
What is the ratio of the sides in a 30-60-90 triangle?
Back
The sides 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 length of the hypotenuse.
4.
FLASHCARD QUESTION
Front
How do you find the length of the longer leg in a 30-60-90 triangle if you know the shorter leg?
Back
Multiply the length of the shorter leg by √3.
5.
FLASHCARD QUESTION
Front
If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the shorter leg?
Back
5 (since the shorter leg is half the hypotenuse).
6.
FLASHCARD QUESTION
Front
If the hypotenuse of a 45-45-90 triangle is 8, what is the length of each leg?
Back
Each leg is 8/√2 or 4√2.
7.
FLASHCARD QUESTION
Front
What is the length of the hypotenuse in a 30-60-90 triangle if the longer leg is 12?
Back
The hypotenuse is 12/√3 * 2 = 8√3.
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