Question

the base of a triangle is 4cm greater than the height. the area is 48cm^2 find teh base of the triangle

Answer 1

A = (1/2)(b*h)
48 = (1/2)((4+h)h)
48 = (1/2)(4h+h^2)
96 = 4h + h^2
h^2 + 4h - 96 = 0
(h + 12)(h - 8) = 0
h = -12 or 8
since height cannot be a negative value, h = 8 cms
therefore, b = 12 cms

The height of the triangle is 8 centimeters.
The base of the triangle is 12 centimeters.

Answer 2

do you understand?

Answer 3

same as ryleesmama