A point 'P' is an arbitrary interior point of an equilateral triangle of side 4. If x, y, z are the distances of 'P' from sides of the triangle then the value of `(x+y+z)^(2)` is equal to -

A point P is inside an equilateral triangle. If the distances of P from sides 8, 10, 12 then length of the side of the triangle is

A point P is inside an equilateral triangle if the distance of P from sides 8,10,12 then the length of the side of the triangle is

The sum of the perpendiculars drawn from an interior point of an equilateral triangle is 20 cm. What is the length of side of the triangle ?

Let the point P lies in the interior of an equilateral triangle with side lengths 2 units, each. Find the sum of the shortest distances from P to the sides of the triangle.

One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2). Then the length of the side of the triangle is

One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2). Then the length of the side of the triangle is

In the adjacent figure 'P' is any interior point of the equilateral triangle ABC is side length 2 unit . If x_(a), x_(b) and x_(c) represent the distance of P from the sides BC, CA and AB respectively then x_(a)+x_(b)+x_(c) is equal to

In the adjacent figure 'P' is any interior point of the equilateral triangle ABC is side length 2 unit . If x_(a), x_(b) and x_(c) represent the distance of P from the sides BC, CA and AB respectively then x_(a)+x_(b)+x_(c) is equal to

The equation of base of an equilateral triangle is x+y=2 and vertex is (2, -1). Then the length of the side of the triangle equals: