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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 2 — Foundation
In a 45-45-90 triangle, if each leg is of length 1, what is the length of the hypotenuse?
√2
1
2
√3
What is the length of the hypotenuse of a 30-60-90 triangle if the shorter leg is 4?
8
4√3
2√3
6
If one leg of a 30-60-90 triangle is 3, what is the length of the longer leg?
3√3
6
3/2
9
In a 45-45-90 triangle, if each leg measures x, what is the hypotenuse in terms of x?
x√2
x/√2
2x
√x
If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the shorter leg?
6
12
4√3
2√3
In a 30-60-90 triangle, if the longer leg is 5√3, what is the shorter leg?
5
10
15
2.5
If one leg of a 45-45-90 triangle is 8, what is the length of the hypotenuse?
8√2
8
16
4√2
In a 30-60-90 triangle, if the shorter leg is 7, what is the length of the hypotenuse?
14
7√3
10
7
What is the length of the longer leg in a 30-60-90 triangle if the shorter leg is 8?
8√3
4√3
16
8
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