Question

of their corresponding medians.
7. Prove that the area of an equilateral triangle described on one side of a square is equal
to half the area of the equilateral triangle described on one of its diagonals.​

Answer 1

Step-by-step explanation:

Given coordinates of four points in a plane, find if the four points form a square or not.

To check for square, we need to check for following.

a) All fours sides formed by points are the same.

b) The angle between any two sides is 90 degree. (This condition is required as Quadrilateral also has same sides.

c) Check both the diagonals have the same distance

Given coordinates of four points in a plane, find if the four points form a square or not.

To check for square, we need to check for following.

a) All fours sides formed by points are the same.

b) The angle between any two sides is 90 degree. (This condition is required as Quadrilateral also has same sides.

c) Check both the diagonals have the same distance