Algebra
posted by Russell on .
Atriangle has a base that is twice its height minus 4 feet. if the area is 15 square feet, find the height and base of the triangle.

h = x feet. B = 2X  4.
A = Bh/2 = (2X 4)X/2 = 15.
Cross multiply:
2X^2 4X = 30, X^2 2X 15 = 0,
Solve for X BY FACTORING:
(X 5) (X + 3) = 0
X  5 = 0, X = 5; X + 3 = 0, X = 3
Choose positive value: X = 5 = height.
2X 4 = 10 4 = 6 = Base. 
ihave a triangle with an area of 35 solve for base and height if height is 3meters less than the base