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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 5 — Mastery
In a 45-45-90 triangle, if the length of each leg is , what is the length of the hypotenuse?
If one leg of a 30-60-90 triangle measures 6, what is the length of the hypotenuse?
12
6√3
3√3
9
A 45-45-90 triangle has a hypotenuse of length 10. What is the length of each leg?
5√2
10
5
√10
In a 30-60-90 triangle, if the longer leg measures 8√3, what is the length of the hypotenuse?
16
8
12
8√2
What is the area of a 45-45-90 triangle with legs of length 7?
24.5
49
14
49√2
In a 30-60-90 triangle, if the shorter leg is 5, what is the length of the longer leg?
5√3
10
5
15
If the hypotenuse of a 45-45-90 triangle is , what is the length of each leg?
4
2√2
8
2
What is the length of the hypotenuse of a 30-60-90 triangle if the longer leg measures 10?
10√3
20
5
15
In a 45-45-90 triangle, if each leg is , what is the area of the triangle?
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