Prove that ara of the equilateral triangle described on the sides of square is half the area of the equilateral triangle described on its diagonal.

ABC is a right angled triangle, having lfloorB=90^(@) . If BD=DC , Show that AC^(2)=4AD^(2)-3AB^(2) OR Prove that area of the equilateral triangle described on the side of a square is half the area of the equilateral triangle described on its diagonal.

Prove that the area of the euilateral traingle described on the side of a square is half the area of the equilatiral triangle described on it's square . OR In Delta ABC D,E, F are the midpoints of te sides BC, AC and AB respectively. Find the rations of the areas of Delta DEF Delta ABC

Prove that the area of an equilateral triangle described on one side of a square is equal of half the area of the equilateral triangle described on one of its diagonals.

The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.

Derive the formula for height and area of an equilateral triangle.

Write the negation of " All triangles are not equilateral triangle "

Show that the angles of an equilateral triangle are 60^@ each.

Show that the angles of an equilateral triangle are 60^(@) each

Prove that an equilateral triangle can be constructed on any given line segment.

Three coins of unit radius are placed in an equilateral triangle as shown in the following figure. The area of that equilateral triangle is :