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In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes

Mathematics - Mathematics

Chapter _Triangles


In an equilateral triangle let 1 side be a the altitude will divide the triangle into two equal halves . By congruency aas 90 60 and one side common So in one triangle hypo square=base square+ perpendicular square a square =( a/ 2 ) square+ altitude square when we solve this equation we will get the answer
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