SOLUTION: Hello, Problem: The base of a triangle is 3cm greater than the height. The area is 14 cm^2. Find the height and the length of the base. I know that I have a consecutive n

Algebra ->  Triangles -> SOLUTION: Hello, Problem: The base of a triangle is 3cm greater than the height. The area is 14 cm^2. Find the height and the length of the base. I know that I have a consecutive n      Log On


   



Question 93123This question is from textbook
: Hello,
Problem:
The base of a triangle is 3cm greater than the height. The
area is 14 cm^2. Find the height and the length of the base.
I know that I have a consecutive number - (n+3) and I know I have
to apply a formula A= 1/2(b)(h) or is it the A=l(w). I tried it
using both, and still am not doing it right...I also know that I have
to do factoring in there, once I get my equation right. Than do
the whole take it zero thing. So I know the steps but not getting
them in order properly....Thanks so much!!!
Cristina
This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The base of a triangle is 3cm greater than the height. The
area is 14 cm^2. Find the height and the length of the base.
----------
A = (1/2)bh
14 = (1/2)(h+3)h
h^2+3h-28 = 0
(h+7)(h-4)=0
Positive answer:
h=4 cm (height)
base = h+3 = 7 cm
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Cheers,
Stan H.