Draw two circles with two points as centers and the third point laying on both. Height of Equilateral Triangle is the length of the perpendicular drawn from the vertex of the triangle to the opposite side is calculated using Height of Equilateral Triangle (sqrt (3) Side of Equilateral Triangle)/2.To calculate Height of Equilateral Triangle, you need Side of Equilateral Triangle (S). The sides a/2 and h are the legs and a the hypotenuse. Construct the Altitude of the Triangle 1. ![]() ![]() The sides a, a/2 and h form a right triangle. The altitude ( h) of the equilateral triangle (or the height) can be calculated from Pythagorean theorem. Acute triangle: the orthocenter is an inner point.Right triangle: the orthocenter coincides with the right angle’s vertex.Obtuse triangle: the orthocenter is outside the triangle.Acute triangle: all three altitudes lie inside the triangle.Move the vertices around to make different types of triangles. Use the geometry tools to construct a line perpendicular to BC through A. Right triangle: The altitude with respect to the hypotenuse is interior, and the other two altitudes coincide with the legs of the triangle. In the applet above, construct the altitude from point A. ![]()
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