**How to find the area of a triangle given three altitudes ...**
https://www.quora.com/How-do-I-find-the-area-of-a-triangle-given-three-altitudes

Let the sides of the triangle be a, b, and c. The altitudes to the sides are the heights used to find the area of the triangle. Let the altitudes to sides a, b, and c be called ha, hb, and hc. The area of the triangle can be found by 1/2 a ha or 1/2 b hb or 1/2 c hc. a ha = b hb = c hc. a/b = hb/ha. a/c = hc/ha.

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