SOLUTION: The base of a triangle is 4 in. less than twice the height. The area is of the traingle is 35 inches squared . Find the height of the base. -I am aware of the formula, but I

Question 338929: The base of a triangle is 4 in. less than twice the height. The area is of the traingle is 35 inches squared . Find the height of the base.
-I am aware of the formula, but I am really having a difficult time writing out the problem in the form so I can understand it. So far, this is what I have:
(1/2) x (2h-4) x h = 35
I know that I need to factor, but I cannot seem to factor based on the how I developed the problem. Can you please provide some step-by-step basis so I have a good understanding of what I should be doing. I would appreciate any help!

Thanks! Melissa
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The base of a triangle is 4 in. less than twice the height. The area of the traingle is 35 inches squared . Find the height and the base.
-I am aware of the formula, but I am really having a difficult time writing out the problem in the form so I can understand it. So far, this is what I have:
(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
====================================
Cheers,
Stan H.
==============
RELATED QUESTIONS
[ The height of a triangle is 4 inches more than twice the length of the base. The area... (answered by TimothyLamb)

The base of a triangle is 4 inches less than twice the height. The area is 35 inches^2.... (answered by ankor@dixie-net.com)

Question 1: the length of the base of a triangle is 2 inches less than twice the height. (answered by richwmiller)

Help me solve this problem please: The height of a triangle is 4 cm more than twice the... (answered by josgarithmetic,MathTherapy)

the height of a triangle is 4 inches less than twice its base. The area is 48 sq inches.... (answered by josgarithmetic)

the base of a triangle is 6 meters less than the height. the area is 12 meters squared.... (answered by stanbon)

the hight of a tirangle is 3 inches less than the lenght of the base. if the area is 54... (answered by jsmallt9)

A triangle has a base length of 2x+8 inches. It's height is 11 inches. What is the area... (answered by Alan3354)

the base of a triangle is one less than five times the height of the triangle. the area... (answered by nerdybill)