Question 885365
A section on the playground is in the shape of a triangle and has an area of 24 square feet. If the base is four more than twice the height, what is the measure of the height?
Let h = measure of height
then
4+2h = measure of base
.
area of any triangle is (1/2)base*height
(1/2)(4+2h)h = 24
(2+h)h = 24
2h+h^2 = 24
h^2+2h-24 = 0
(h+6)(h-4) = 0
h = {-6, 4}
throw out the negative solution (extraneous) leaving:
h = 4 feet