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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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View Destroyer Course →Right Triangles and Trigonometry • SAT Math
Set 1 — Foundation
In a 45-45-90 triangle, if each leg is of length 4, what is the length of the hypotenuse?
4√2
8
√8
2√2
What is the ratio of the sides in a 30-60-90 triangle?
1:√3:2
1:1:1
1:2:√3
√3:1:2
If the shorter leg of a 30-60-90 triangle is 5, what is the length of the longer leg?
5√3
10
15
√15
In a 45-45-90 triangle, if the hypotenuse is 10, what is the length of each leg?
5√2
10
5
√10
What is the length of the hypotenuse in a 30-60-90 triangle if the longer leg is 12?
8
12
4√3
24
If the shorter leg of a 30-60-90 triangle is x, what is the length of the hypotenuse?
2x
√3x
x/2
x√3
What is the length of a leg in a 45-45-90 triangle if the hypotenuse is 14?
7√2
14
7
√14
If the longer leg of a 30-60-90 triangle is 6√3, what is the length of the shorter leg?
6
12
3√3
6√2
In a 45-45-90 triangle, the legs are both of length 8. What is the area of the triangle?
32
64
16
24
In a 30-60-90 triangle, if the hypotenuse measures 10, what is the length of the shorter leg?
5
10/√3
√10
10/2
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