math
posted by Kaylee on .
The base of a triangle is 10 cm longer than the height. Determine the height of the triangle if its area is 48 cm^2.
I just plugged in number and got 6cm for the height and 16cm for the base. But I need to show work and I cant remember how to solve this.

The height h is b  10
(1/2) b (b10) = 48
b^2 10b = 96
(b16)*(b+6) = 0
b = 16. h = b10 = 6
The other root (b = 6) makes no sense. 
The triangle area is A = bh/2 where b = the base and h = the height.
Therefore, A = (h + 6)h/2 = 24. I imagine you can take it from here.