In an equilateral triangle prove that three times
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in a equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes
Answered by admin @
Let ABC be equilateral triangle.
Let AD be perpendicular bisector from A on to BC. So BD = CD = 1/2 BC
ADC is a right angle triangle. So AC² = AD² + DC²
AC² = AD² + (1/2 AC)²
AD² = 3/4 AC²
4 AD² = 3 AC²
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