What is a special right triangle?
Special Right Triangles

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•
Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A special right triangle is a right triangle with specific angle measures and side length ratios that make calculations easier. The two main types are 45-45-90 and 30-60-90 triangles.
2.
FLASHCARD QUESTION
Front
What are the angle measures of a 45-45-90 triangle?
Back
The angle measures are 45°, 45°, and 90°.
3.
FLASHCARD QUESTION
Front
What is the side length ratio of a 45-45-90 triangle?
Back
The side lengths are in the ratio 1:1:√2, where the legs are equal and the hypotenuse is √2 times the length of each leg.
4.
FLASHCARD QUESTION
Front
What are the angle measures of a 30-60-90 triangle?
Back
The angle measures are 30°, 60°, and 90°.
5.
FLASHCARD QUESTION
Front
What is the side length ratio of a 30-60-90 triangle?
Back
The side lengths are in the ratio 1:√3:2, where the shortest side is opposite the 30° angle, the longer leg is opposite the 60° angle, and the hypotenuse is the longest side.
6.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a 45-45-90 triangle?
Back
7.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a 30-60-90 triangle?
Back
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