How to find the length of the altitude of a triangle

The other leg of the right triangle is the altitude of the equilateral triangle, so solve using the Pythagorean theorem: a2 + b2 = c2 a2 + 122 = 242 a2 + 144 = 576 a2 = 432 a = 20.7846 yds Whenever you can construct an altitude that cuts the original triangle in two right triangles, Pythagoras will do the trick! ................
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