Question

The base of a triangle is 5 cm greater than the height. The area is 52 cm^2. Find the height and the length of the base.

Answer 1

52 = 1/2(x)(x+5)

Answer 2

104 = (x)(x+5)

Answer 3

0 = x^2 + 5x - 104

Answer 4

I am trying to figure this out but not getting very far yet.

Answer 5

x = 8
x+5 = 13

Answer 6

I skipped a whole bunch of steps, but that's your answer

Answer 7

LOL, I got -13 and 8 and I knew that couldn't be right. So the base is 13 and the height is 8?

Answer 8

Yes

Answer 9

great! thank you.

Answer 10

yeah, -13 is negative, so it wouldn't work. Which means only one x would work. You add 5 to that and you get positive 13

Answer 11

thanks!