A parallelogram and a triangle both have a base of 8 inches. The height of the parallelogram is 4 inches. What is the height of the triangle if both shapes have the same area
Let the height of the triangle be h.
The area of the parallelogram is base times height, so it's 8*4 =<<8*4=32>>32 square inches.
Since both shapes have the same area, the area of the triangle is also 32 square inches. The area of a triangle is 1/2 * base * height, so:
32 = 1/2 * 8 * h
To find the height of the triangle, we can multiply both sides of the equation by 2:
64 = 8*h
Finally, we can divide both sides of the equation by 8:
h = 8
So the height of the triangle is 8 inches.