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In the 30-60-90 triangle below, the hypotenuse is 16. Find the lengths of sides a and b.
Aa = 8, b = 8√3
Ba = 8√2, b = 8√2
Ca = 16√3, b = 8
Da = 8√3, b = 8
Explanation
In a 30-60-90 triangle: short leg = hyp/2, long leg = short × √3. a (opposite 60°, long leg) = 8√3 ≈ 13.86 b (opposite 30°, short leg) = 16/2 = 8 So a = 8√3, b = 8.
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