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=
`(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=
`(H(H+3))/(2)`
20=
`( h^(2) +3h)/(2)`
40=
`H^(2)`+3H
10
`(1)/(3)`=
`H^(2)`
h=3.2ft