How to find base and height of a triangle with only area?

The area of a triangle is the amount of space enclosed between the sides of the triangle.

Answer: If area and base are given: height = 2A/ b = (2 × Area) / base. If area and height are given: base = 2A/ h = (2 × Area) / height

Let's find the base and height of a triangle when only the area is known.

Explanation:

Area of a triangle = 1/2 × Base × Height

If area and base of the triangle are given: height = 2A/ b = (2 × Area) / base

If area and height of the triangle are given: base = 2A/ h = (2 × Area) / height

But for the equilateral triangle, height and base are interconnected:

• Area = √3/4 a²
• height = √3/2 a

So, from the area of the equilateral triangle calculate the side, then find the height of the triangle using the formula.

Thus, we have seen how to calculate the base and height of a triangle with only the area given.