SOLUTION: The base of a triangular garden is 33 yards longer than the height, and the area of the garden is 152 square yards. Find the dimensions of the triangle.

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Question 1100263: The base of a triangular garden is 33 yards longer than the height, and the area of the garden is 152 square yards. Find the dimensions of the triangle.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The base of a triangular garden is 33 yards longer than the height, and the area of the garden is 152 square yards.
Find the dimensions of the triangle
:
let h = the height of the triangle
then
(h+33) = the base
:
1%2F2b*h = A
1%2F2*(h+33)*h = 152
Distribute the h, mult by 2 to get rid of the fraction
h^2 + 33h = 304
A quadratic equation
h^2 + 33h - 304 = 0
Solve this using the quadratic formula; a=1; b=33; c=-304
I got a positive solution of:
h = 7.505 yds is the height
then
33 + 7.505 = 40.505 yds is the base
;
:
Check this by finding the area with these values
1%2F2*7.505*40.505 = 151.99 ~ 152 sq yds