Answer :
Answer:
The height is 8 and the base is 16
Step-by-step explanation:
the area of a triangle is [tex]\frac{1}{2}[/tex]bh, where b is the length of the base, and h is the length of the height.
We are given that the base is twice the height, so b=2h. If we substitute b for 2h in our equation, we get that the area of the triangle is [tex]\frac{1}{2}[/tex](2h)(h), which equals h^2.
Therefore, the area of this triangle is h^2. We are given that the area is 64, so h^2=64. The only positive value for h is 8, so h=8.
Since b=2h, b=2*8=16, so the height is 8 and the base is 16