Find the perimeter and area of a 30 60 90 triangle with hypotenuse length 28 centimeters.

The hypotenuse (H) of a 30-60-90 triangle is 2 times the length of the short leg (SL) and the long leg (LL) is the short leg times the sqrt of 3, so the equations we would use to find the missing lengths are SL=1/2H and LL=1/2Hsqrt3. so substitute, and we get SL=14.00 and LL = about 24.25. now, area of a triangle is 1/2bh and the perimeter is the Hypotenuse plus the 2 legs. So P = 28.00+14.00+24.25=66.25 and a=1/2 (14x24.25) which equals 169.74