Question

The base of a triangle is 8 cm greater than the height. The are is 24 cm^2. Find the height and the length of the base.

Answer 1

Let the height = x
So the base = x + 8

The formula for the area of a triangle is Area = (1/2)bh
So, 24 = (1/2)(x)(x+8)
Multiply both sides by 2, you get
48 = x(x+8)
48 = x^2 + 8x
Set equal to zero because it is quadratic,
x^2 + 8x - 48 = 0

Factor, (x + 12)(x - 4) = 0
x = -12 which we reject and x = 4

So the height = x = 4 cm

The base = x + 8 = 12 cm

Answer 2

Good Night.

Answer 3

good night once again than you very much

Answer 4

Welcome.