Posted by **Marco** on Monday, February 14, 2011 at 9:44pm.

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**, Monday, February 14, 2011 at 10:13pm
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.

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