SOLUTION: the height of a triangle is five feet less than two times the base. If the area is 75 square feet find the base and height.

Question 106170: the height of a triangle is five feet less than two times the base. If the area is 75 square feet find the base and height.
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
sq ft

Let the base = d
Let the height = h

Use
when equation is
a = 2
b = -5
c = -150

(the negative sign makes no sense in this problem)
ft This is the base

ft This is the height

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the height of a triangle is five feet less than two times the base. If the area is 75 square feet find the base and height.
---------------
Formula: Area = (1/2)(base)(height)
75 = (1/2)(x)(2x-5)
150 = x(2x-5)
2x^2-5x-150 = 0
(2x+15) (x-10)= 0
x=-15/2 ; x=10
Only x=10 is realistic (base = 10 ft.)
Then height = 2*10-5 = 15 ft.
=================
Cheers,
Stan H.
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