Height of the triangle

To find the height of a triangle, let’s use one of the properties of a triangle: the height drawn in any triangle divides it into two right triangles, becoming an adjacent cathet. And also knowing that the height lowered by the string divides it in half. Knowing all three sides, you can calculate the heights according to the Pythagorean theorem.


Find the heights of an arbitrary triangle through its sides

Side of the triangle a
Side of the triangle b
Side of the triangle c
Height lowered to the side a
Height lowered to the side b
Height lowered to the side c