Question

The base of a triangle is 4cm greater than the height. The area is 48cm^2. Find height and the length of the base.
the height of the triangle is
the base of the triangle is

Answer 1

let x be the height
then the base is x+4

S=x(x+4)/2=48

x^2+4x-96=0

solve to get:x=8

then height =8 cm
base =12 cm

Answer 2

Area of a triangle = 1/2 * b * h

h = h
b = h + 4

So instead of A = 1/2 * b * h you have
A = 1/2 * (h+4) * h

And we're given that A = 48 so

48 = 1/2 * (h+4) * h


Which is now a quadratic in h. Can you go figure it out from here?

Answer 3

ty for the formula