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.
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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