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

## Answer this Question

## Related Questions

- geometry - If the height of a triangle is one inch more than twice its base, and...
- geometry - The height of a triangle is 25 inches greater than its base. The area...
- geometry - A triangle's base is 14 inches less than 2 times its height. If h ...
- San Bernardino valley college - The height of a triangle is 3 inches less than 5...
- geometry - the hight of a triangle is four times the length of the base. find ...
- Algebra II - The height of a right triangle is 7 inches greater than the length ...
- Math - The area A of a triangle is given by the formula A=1/2bh If the base of ...
- Math - The area A of a triangle is given by the formula A=1/2bh If the base of ...
- Algebra - A triangle has an area of 60 in^2. Its base is 10 inches and its ...
- geometry - A right triangle has a base that is 2 more than twice the height. ...

More Related Questions