Question

The area of equilateral triangle whose height is h

Answer 1

The side of the equilateral triangle that represents the height of the triangle will have a length of because it will be opposite the 60o angle. To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two.

HMMM.....

Answer 2

let's say equilateral triangle has side equal to a now we have height h.

so area of triangle = 1/2 × base ×height

= 1/2 × a × h

now if we have a we can calculate h or if we have h we can calculate a.

relation between a and h is

h = a√3/2

so now

a = 2h/√3

so area is

area = 1/2 × a×h

= 1/2× 2h/√3 ×h

= h^2/√3