Question 330002
Let the height be x
So the base is x/3 (One third of the height )

Area of a triangle 
=1/2 * base * height 
According to the given condition 

1/2 * x/3 * x = 24
x^2/6 = 24
Multiplying both sides by 6
x^2 = 24*6
x^2=144
x=sqrt(144)
therefore x=12
and x/3 = 4
Base is 4 and height is 12