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Angles are 30-60-90 degrees.

Hypotenuse = 12

One leg = 6

Other leg = 6 sqrt(3)

Area = 1/2 (base) x (height) = (1/2) (6) [ 6 sqrt(3) ] = 18 sqrt(3) = 31.177 square units.

Sin 30 = perpendicular/ Hypotenuse

=Perpendicular/ 12

Perpendicular = 12x1/2 = 6

By Rt. angle triangle formula i.e. (Hyp)2 = (Base)2 + (Per)2

Base = sqrt (3)

Area = 1/2 (base) x (height) = (1/2) (6) [ 6 sqrt(3) ] = 18 sqrt(3) = 31.177 square units

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Q: What is the area of a 30-60-90 triangle if the hypotenuse is 12?
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