Posted by **VERONICA** on Thursday, February 23, 2012 at 8:27pm.

a triangle has an area of 35 square inches. The base of the triangle is 4 inches less than twice the height. What is the length of the base of the triangle?

- GeOmEtRy!!! -
**MIKE**, Thursday, February 23, 2012 at 8:31pm
I THINK ITS THIS :

(1/2) x (2h-4) x h = 35

(h-2)h = 35

h^2-2h-35 = 0

(h-7)(h+5) = 0

Positive solution:

height = 7 inches

base = 2h-4 = 2*7-4 = 10 inches

- GeOmEtRy!!! -
**Reiny**, Thursday, February 23, 2012 at 8:33pm
let the height be x

then base = 2x-4

(1/2)(x)(2x-4) = 35

x(2x-4) = 70

2x^2 - 4x - 70 = 0

x^2 - 2x - 35 = 0

(x-7)(x+5) = 0

x = 7 or x = a negative, which is silly

base = 2x-4 = 10

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