The area of a triangle is represented by the equation:
Area = (1/2) (B) (H)
B represents the base and H represents the height.
If the area is 180, and the base is 8, we can plug them into our equation and solve for H (height):
180 = (1/2) (8) (H)
Simplify the right side and we have:
180 = 4H
Isolate the H by dividing by 4 on each side and we get:
45 = H
The height of the triangle is 45.