Question

The area of a right triangle is 81 square meters. The height is twice as long as the base.

To fine the area of the triangle us the following formula a=1/2 bh
How long is the shorter leg of the triangle

Answer 1

for a right triangle (base*height)/2 corresponds to (product of the 2 sides (legs) of the right angle)/2

here the smallest leg =base=x

the height is the 2nd leg, here = 2x

x= base(shorter leg of the triangle)

2x= height

we calculate the area (base*h)/2 = 2x²/2 = 81

x²=81

x=V81 = 9

shorter leg of the triangle = 9m

height = 18m