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.

## Answer This Question

## Related Questions

- Geometry - A right triangle and a square share a side. The hypotenuse of the ...
- geometry - find the value of x in each triangle: triangle x has 1 angle at 53 ...
- geometry - find the value of x in each triangle: triangle x has 1 angle at 53 ...
- Geometry - If the measures of the exterior angles of the acute angles of a right...
- Geometry - Please check my answers 1. A triangle has side lengths of 34 in, 20 ...
- geometry - One leg of an isosceles right triangle measures 5 inches. Rounded to ...
- math - if the measures of the angles of a triangle are represented by 2x, 3x-15...
- math - if the measures of the angles of a triangle are represented by 2x, 3x-15...
- geometry - If the measures of the acute angles of a right triangle are 3x + 4 ...
- pre algebra - the measures of the angles of (triangle) RST are in the ratio 2:3:...

More Related Questions