Let P be a point in an equilateral triangle with each side of length '1'. Let #h_1,h_2,h_3# be the length of perpendicular distance from 'P' to the 3 sides of the triangle. What is the possible value of #h_1+h_2+h_3#?
Area of the equilateral triangle having length of each side 1 is given by
Again it's area= sum of areas of three triangles obtained by joining P with the three vertices.
For any equilateral #triangle ABC of side 'a',
the area of the triangle
= sum of the areas of
This property of equilateral triangles is used in making
Triangular Graphs, for studying miscibility of liquids.