SOLUTION: The height of a triangle is 3cm greater than the base. The area of the triangle is 77sqaure cm. Find the length of the base and height of a triangle.

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Question 1030590: The height of a triangle is 3cm greater than the base. The area of the triangle is 77sqaure cm. Find the length of the base and height of a triangle.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make the base = x
Height = x + 3
Area of a triangle
= 1/2( base x height)
77 = 1/2(x(x + 3))
77 = 1/2(x^2 + 3x)
Multiply both sides by 2
154 = x^2 + 3x
Put in ax^2 + bx + c = 0 form
x^2 + 3x - 154 = 0
Factorize
(x + 14)(x - 11) = 0
x + 14 = 0
x = -14 disregard as -ve)
x - 11 = 0
x = 11
Base = 11 cm
Height = 14 cm
Hope this helps :-)