Question

The base of a parallelogram and a triangle are the same length, and both figures have the same area. What is true about height of the triangle?
It is the same as the parallelogram's height.
It is half of the parallelogram's height.
It is twice the parallelogram's height.
Its height is twice its base.

Answer 1

if the bases are the same then

Area of a parallelogram is A = base x height

triangle A = base x 1/2 height

if the areas are the same then the height of the triangle is double the height of the parallelogram