The hypotenuse of a right-angled triangle is 16 cm, and the angle is 30. Find its area.

Hypotenuse = 16
One of the corners = 30 degrees.
A leg lying opposite an angle of 30 degrees is equal to half the hypotenuse, which means that one of the legs is 16: 2 = 8.
Second leg according to the Pythagorean theorem = √16 ^ 2 – 8 ^ 2 = √ 198 = 8 √3
S = half of the product of legs = 1/2 * 8√3 * 8 = 32√3



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