Quadratic Equations
posted by purpletree on .
The height of a triangle is 1 in. more than twice the base. Find the base and the height if the area of the triangle is 521/2 sq in. (Please provide steps/explanation to solve this problem.)

lets the height of the triangle h, and the base is b
first sentence means h = 1 + 2b
Area of the triangle formula is
A = 1/2(b*h)
since h = 1 + 2b
then A = 1/2 [ b * (1+2b)]
then you just need to replace the A with the given number and solve for b. After you find b, substitute b into h = 1+ 2b to find h
good luck 
Thanks for the help. :)