Prove that three times the square of any side of an equilateral Triangle is equal to four times the square of the altitude.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

The side of an equilateral triangle is 'a' units then. its area is_____ square units.

Prove that the ratio of areas of two similar triangle is equal to the square of the ratio of their corresponding medians.

If the sum of the squares of the sides of a triangle ABC is equal to twice the square of its circum diameter, then sin^2A+sin^2B+sin^2C =

If the sum of the squares of the sides of a triangles ABC is equal to twice the square of its circum diameter , then sin ^(2) A + sin ^(2) B + sin ^(2) C =

Prove that the area of the equilateral Triangle described on the side of a square is half the area of the equilateral triangle described on its diagonal.

The sun of the squares of the sides of a triangle is 32 then the sum of the squares of the medians of the triangle is

In an equilateral triangle ABC, P_1 is length of altitude from A then