Geometry and Trigonometry practice question

Answer: A. 5√2

In a 45°-45°-90° triangle the hypotenuse is √2 times a leg. So each leg is 10/√2 = 5√2.

Why the other answers are wrong

B. 10√2

10√2 multiplies by √2 instead of dividing; that would be the hypotenuse of a triangle with legs of 10.

C. 5

5 is half the hypotenuse, which is the SHORT leg of a 30°-60°-90° triangle, not this one.

D. 5√3

5√3 belongs to a 30°-60°-90° triangle.

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