What is a 45-45-90 triangle?
Special Right Triangles 45-45-90 and 30-60-90

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Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 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 length of the side opposite the 30° angle is half the length of the hypotenuse, and the length of the side opposite the 60° angle is √3 times the length of the shorter leg.
3.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 45-45-90 triangle?
Back
If the legs are of length 'a', then the hypotenuse is 'a√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 4.
Back
The hypotenuse is 4√2.
6.
FLASHCARD QUESTION
Front
Find the length of the longer leg in a 30-60-90 triangle if the shorter leg is 5.
Back
The longer leg is 5√3.
7.
FLASHCARD QUESTION
Front
What is the value of x in a 30-60-90 triangle if the hypotenuse is 12?
Back
The value of x (the shorter leg) is 6.
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