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.
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.