SOLUTION: The base of a triagle is 6cm greater than the height. The area is 36cm^2. Find the height and the length of the base.
Algebra.Com
Question 311556: The base of a triagle is 6cm greater than the height. The area is 36cm^2. Find the height and the length of the base.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The base of a triangle is 6cm greater than the height. The area is 36cm^2. Find the height and the length of the base.
------------------
Area = (1/2)bh
36 = (1/2)*(h+6)h
h^2 + 6h - 72 = 0
Factor:
(x+12)(x-6) = 0
Positive solution:
-----
h = 6 (height)
h+6 = 12 (base)
================
Cheers,
Stan H.
RELATED QUESTIONS
I need some help figuring out how to do this word problem. The base of a triangle is 6cm... (answered by josmiceli)
The base of a triangle is 6cm greater than the height. The area is 56 cm^2. Find the... (answered by ewatrrr)
the base of a triangle is 6cm greater than the height. the area is 20cm. find the height... (answered by checkley77)
the base of a triangle is 6cm less than its height. If the triangle has an area of 36cm... (answered by narayaba)
The base of a triangle is 6cm greater than the height. The areas is 20cm^2
Find the... (answered by richwmiller,oberobic)
The area of a triagle is 90in2 The base of the riangle measures 2in more than twice the... (answered by Alan3354)
Base of a triangle is 4cm greater than the height The area is 30cm^2
Find the height... (answered by vleith)
The base of a triangle is 3 cm greater than the height. The area is 2 cm^2. Find the... (answered by oberobic)
the base of a triangle is 6 cm greater than the height. The area is 20cm^2. Find the... (answered by Fombitz)