Use the formula: Height = 2 × Area ÷ Base
If the triangle is right-angled, use the perpendicular side as the height
If two sides and the included angle are known, use: Height = side × sin(angle)
If all three sides are known, first find the area using Heron’s formula, then use Height = 2 × Area ÷ Base
If coordinates are known, use the distance from the opposite vertex to the base line
If the triangle is equilateral, use: Height = (√3 ÷ 2) × side