ABCD is a square and DEC is an equilateral triangle. Prove that AE = BE.

An equilateral triangle of side 9 cm.

triangleABC is an equilateral triangle angle BEC

A wire of length 28cm is to be cut into two pieces, one of the pieces is made into a square and other into an equilateral triangle. What should be the lengths of the two pieces so that the combines area of both square and an equilateral triangle is minimum.

A wire of length 25 cm is to be cut into two pieces, one of the pieces is made into a square and other into an equilateral triangle. What should be the lengths of the two pieces so that the combined area of both square and an equilateral triangle is minimum

O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Show that triangleOCD is an isosceles triangle.

D,E and F are respectively the mid points of the sides BC,CA and AB of an equilateral triangle ABC, prove that DEF is also equilateral triangle.

Construct an equilateral triangle of side 5.5 cm

In the fig. ABCD is square and P is a point on such that PB=PD. Prove that CPA is a striaght line

ABC is an equilateral triangle. X is point on AC, Prove that BX > XC and BX > AX .