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Prove that three times the square of any side ofan equilateral triangle is equal to four timesthe square of an altitude.ho |
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Answer» Answer: LET the side of the equilateral triangle be a Drop perpendicular from one VERTEX A to it's opposite side BC at D, then this is the height =H Now ADB is a right angle triangle where AB=a is hypotenuse, h is one leg and a/2 is another leg Apply now Pythagoras theorem a square =h square+ (a/2) square a square-(a/4) square= h square (3/4) a square = h square |
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