How to find the height of a triangle with only the base?

We know that the area of a triangle = 1/2 × base × height

Answer: To find the height of a triangle we need to know the base and the area of the triangle.

Let us see why we need the area as well.

Explanation:

Area of a triangle = 1/2 × base × height

Height = ( 2 × Area ) / Base

We need at least 2 variables (Area, Base) to find the unknown variable height of the triangle.

Hence, to find the height of a triangle we need to know the base and the area of the triangle.