Prove that a median of an equilateral triangle is perpendicular to the corresponding side.

Using the concept of slope,prove that medians of an equilateral triangle are perpendicular to the corresponding sides.

Prove that the medians of an equilateral triangle are equal.

Prove that an equilateral triangle is equiangular.

If the median of a triangle through A is perpendicular to AB, then

From a point in the interior of an equilateral triangle perpendiculars are drawn to the three sides and are 10m,12m and 18m. Find the area of the triangle

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle.

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle.

From a point within an equilateral triangle, perpendiculars drawn to the three sides are 6 cm, 7 cm and 8 cm respectively. The length of the side of the triangle is

From a point within an equilateral triangle, perpendiculars drawn to the three sides, are 6 cm, 7cm and 8 cm respectively. The length of the side of the triangle is :