Question

what is the formula for height of any triangle

Answer 1

Solve for height
hb=2A
b
b Base
A Area

Answer 2

You can use any one altitude-base pair to find the area of the triangle, via the formula A = (1/2)bh. In each of those diagrams, the triangle ABC is the same. The green line is the altitude, the “height”, and the side with the red perpendicular square on it is the “base.” All three sides of the triangle get a turn.