Posted by Marco on .
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.

Geometry 
helper,
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.