Prove that the sum of the perpendiculars drawn from any interior point of an equilateral triangle to its sides then sum of three perpendiculars is equal to the altitude of the triangle.

Perpendicular are drawn from an internal point of an equilateral triangle to its sides. If the lengths of the perpendiculars be 9 cm, 11 cm and 10 cm, then find the sides and area of the triangle

An equilateral triangle of side 6 cm. Its area is :

Construct an equilateral triangle, given its side of length of 4.5 cm

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

If the perpendicular distances of the sides of an equilateral triangle from any point within the triangle be 10 cm, 12 cm and 18 cm, then find the area of the triangle.

Prove that if the three medians of a triangle be equal , then it is an equilateral triangle.

Answer any One queation : Prove that, if a perpendicular is draw on the hypotenuse from the right angled triangle, two triangles so formed on the two sides of the perpendicular are each similar to the original triangle and also similar to each other.

A point moves so that the sum of the squares of the perpendiculars let fall from it on the sides of an equilateral triangle is constant. Prove that its locus is a circle.

Show that the perpendicular from the vertices of a triangle to the opposites sides are concurrent .