A triangle has an area of 50cm its base is four times the height what is the height?

So area=1/2 base times height

50=1/2 base times height

multiply both sides by 2

100=base times height

base=4height

100=4height times height

100=4height^2

divide 4

25=height^2

squarer root

5=height

subisute

base=4 (5)

base=20

height=5