Question

Plz help me .. I am really stumped!!!!!!! part of the set for a play is a big triangular piece of plywood. the area of the triangle is 20 square feet. the base is 3 feet longer than the height. what is the height of the triangle? round your answer to the nearest tenth of a foot. s it.........
f. 3 feet
g. 3.2 feet
h. 3.9 feet
j. 5 feet

Answer 1

The way to find the area of a triangle is A=$\frac{B*H}{2}$
if the base is 3 feet longer then the height we can write it like this B=H+3

now we can add it to our area equation
20=$\frac{H(H+3)}{2}$
20=$\frac{ h^{2} +3h}{2}$
40=$H^{2}$+3H
10$\frac{1}{3}$=$H^{2}$
h=3.2ft