The hypotenuse if a right triangle measures 9 inches and one of the acute angles measures 36 degress. What is the area if the triangle? Round to the nearest square inch.

Answer 1

I'll find one side.

Triangle ABC,
angle A = 36
side c (hypotenuse) = 9

To find side a (opposite side)
sin A = op/hyp = a/c = a/9
sin 36 = a/9
0.5878 = a/9
9 * 0.5878 = a
a = 5.2902

Area = 1/2 bh
In this case, (right triangle)
A = 1/2 ab (side a, side b)

I found side a, you need to find side b.