Question

Triangles CBSE Class X.
ProveThat - 3 times the square of any side of an equilateral triangle is equal to 4 times the square of altitude

Answer 1

Answer:

Step-by-step explanation:

Let the side length of the triangle be 2x, where x is real. Three times the square of a side length is 3*(2x^2), or 12x^2. The altitude is x%2Asqrt%283%29, so the square of the altitude is 3x%5E2, and four times that is 12x^2.