Answer:
The height of triangle is [tex]6\ in[/tex]
Step-by-step explanation:
we know that
The area of a triangle is equal to
[tex]A=(1/2)bh[/tex]
In this problem we have
[tex]b=3h[/tex]
[tex]A=54\ in^{2}[/tex]
substitute in the formula and solve for h
[tex]54=(1/2)(3h)h[/tex]
[tex]108/3=h^{2}[/tex]
[tex]h^{2}=36[/tex]
[tex]h=6\ in[/tex]