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

Answer 1

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.