In the figure , in `DeltaABC` , point D on side BC is such that , `DeltaBAC~=DeltaADC` then prove that , `CA^(2)-=CBxxCD` .

D is a point on side BC of DeltaABC such that , angleADC=angleBAC . Show that AC^(2)= BCxxDC .

In DeltaABC , P is a point on side BC such that BP = 4 cm and PC = 7 cm. A(DeltaAPC):A(DeltaABC) = ………………

The perpendicular from A on side BC at a Delta ABC intersects BC at D such that DB=3 CD. Prove that 2 AB^(2)=2AC^(2)+BC^(2)

D is the midpoint of the side BC of Delta ABC . If P and Q are points o AB and on AC such that DP bisects angle BDA and DQ bisects angle ADC , then prove that PQ || BC

Solve the following sub question : In an equilateral triangle ABC, the side BC is trisected at D. prove that 9 AD^(2) = 7 AB^(2)

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D D B , sin s in A S in B=sin^2C/2 then prove that CD is internal bisector of /_Cdot

In DeltaABC , seg DE|| side BC. If 2A (DeltaADE)=A(squareDBCE) . Show that BC=sqrt(3)xxDE .

In an equilateral DeltaABC, the side BC is trisected at D. Prove that 9AD^(2)=7AB^(2). (Hint : AEbotBC )

If D, E and F be the middle points of the sides BC,CA and AB of the DeltaABC , then AD+BE+CF is