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This worksheet covers Special Right Triangles, which is part of the Right Triangles and Trigonometry module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.
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Set 3 — Foundation
In a 45-45-90 triangle, if each leg is 5, what is the length of the hypotenuse?
5√2
10
5
√50
In a 30-60-90 triangle, if the shortest side is 4, what is the length of the hypotenuse?
8
4√3
2√3
6
If the hypotenuse of a 45-45-90 triangle is 10, what is the length of each leg?
5√2
5
10
√50
What is the length of the longer leg in a 30-60-90 triangle if the shortest leg is 3?
3√3
6
√3
4
What is the hypotenuse of a 30-60-90 triangle if the longer leg is 5√3?
10
5
5√2
15
If the hypotenuse of a 30-60-90 triangle is 12, what is the shortest leg?
6
4
3
12√3
In a 30-60-90 triangle, if the hypotenuse is 14, what is the longer leg?
7√3
14
7
10
What is the length of each leg of a 45-45-90 triangle if the hypotenuse is 8?
4√2
8
2√2
6
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