Question 948911
height= h
Base= 4h

The equation for finding the area of a triangle is 1/2 times base times height. So, plug in what you know.

578 = (1/2)(h)(4h)
578 = 1/2 · 4h^2
1156= 4h^2
289 = h^2
17 = h

So,the height is 17 and the base is (4 ·17)= 68

Height: 17
Base: 68

P.s. I'm assuming there were no units that were provided, if there were just put them next to the value of the base and value of the height.