SOLUTION: The base of a triangle is numerically 4 less than its area, and the height is numerically 9 less than its area. Find the area of the triangle.
Question 1128436: The base of a triangle is numerically 4 less than its area, and the height is numerically 9 less than its area. Find the area of the triangle. Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! The area, A = b*h/2
b = A - 4
h = A - 9
Substitute in the formula for the area
A = (A-4)(A-9)/2
2A = A^2 - 13A + 36
A^2 - 15A + 36 = 0
This can be factored as
(A-3)(A-12) = 0
This gives A = 3, A = 12
We take the larger of the two solutions since A=3 would mean that the base and height are negative
Ans: 12 units
