Question

prove that three times the square of any side of an equilateral triangle is equal to four times the square of an altitude.​

Answer 1

Answer:

For answer saw attached file

Answer 2

Step-by-step explanation:

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

HENCE PROVED