`M` is the midpoint of side `AB` of equilateral triangle `ABC.P` is a point on `BC` such that `(AP + PM)` is minimum. If `AB= 20` then `AP + PM` is

If K is a point on the side BC of an equilateral triangle ABC and if /_BAK=15^(@), then the ratio of (AK)/(AB) is

In an equilateral triangle ABC,D is a point on side BC such that BD=(1)/(3)BC Prove that 9AD^(2)=7AB^(2)

Delta ABC is an equilateral triangle.Point P is on base BC such that PC=(1)/(3)BC, if AB=6cm find AP.

P is an interior point of an equilateral triangle ABC. If P equidistant from AB and BC, BC and AC, then /_ BPC = _____

P and Q are respectively the mid-points of sides AB and BC of a triangle ABC and R is the mid-point of AP, show that ar( Delta PRQ) = 1/2 ar( Delta ARC)

If E is a point on side r:A of an equilateral triangle ABC such that BE bot CA , then prove that AB^(2) +BC^(2) +CA^(2) = 4BE^(2) .