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

The perimeters of two similar triangles are 25cm and 15cm respectively. If one side of the first triangle is 9cm, find the length of the corresponding side of the second triangle. OR In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3 BC. Prove that 9 AD^(2)=7AB^(2)

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

D is a point on side BC of Delta ABC such that AD=AC. Show that AB>AD

DeltaABC is an equilateral triangle. Point D is on side BC such that BD=(1)/(5)BC then prove 25AD^(2)=21AB^(2) .

In an equilateral triangleABC, AD is the altitude drawn from A on the side BC. Prove that 3AB^(2) = 4AD^(2)

In DeltaABC, D is any point on side BC. Prove that AB+BC+CA gt 2AD

ABC is a triangle in which AB=AC and D is a point on AC such that BC^(2)=AC xx CD .Prove that BD=BC .