Question

Find the value of x, which makes the area of this triangle equal 72.

Answer 1

Area of a triangle=1/2(base x height)
Area=72, Base=8, Height=2x-3
Plug it in.
72=1/2(8 x (2x-3))
72=1/2(16x-24)
72=8x-12
84=8x
x=10.5

Answer 2

Area=1/2 times base times height
height=2x-3
base=8

area=72
72=1/2 times (2x-3) times 8
72=(2x-3) times 4
divide both sides by 4
18=2x-3
add 3 to both sides
21=2x
divide both sides by 2
21/2=x
x=21/2=10.5