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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

Verified Answer :

ChillinFool

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

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