Question

a parallelogram and a triangle both have a base of eight inches the height of a parallelogram is four inches what is the height of the triangle if both of the shapes have the same area?
a. 2 in
b. 4 in
c. 8 in
d. 10 in

Answer 1

Area of triangle = (1/2) * Base * Height(1)

Area of parallelogram = Base * Height(2)

If the area is same, then:

=>(1/2) * Base * Height(1) = Base * Height(2)

The Base is the same, so:

=> (1/2) * Height(1) = Height(2)
=> (1/2) * H = 4
=> H = 4*2 = 8 in

Answer 2

Parallelogram:
A = bh

Triangle
A = bh/2