# 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 a
^{2} - 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.

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