Asked by Marco

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.

Answers

Answered by 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.



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