In an isosceles `DeltaABC`, the base AB is produced both ways in `P and Q` such that `AP xx BQ = AC^2`. Prove that `DeltaAPC ~ DeltaBCQ`.

In an isosceles Delta ABC , the base AB is produced both wasys in P and Q such that APxxBQ=AC^(2) Prove that Delta ACP~ Delta BCQ .

In an isosceles ABC, the base AB is produced both the ways to P and Q such that AP xx BQ=AC^(2). Prove that APCBCQ.

In an isosceles triangle A B C , where CA = CB the base A B is produced both the ways to P and Q respectively, such that A PxxB Q=A C^2 . Prove that triangle APC is similar to triangle BCQ.

abc is an isosceles triangle with AB=AC . Side BA is produced to D such that AB=AD. Prove that /_BCD is a right angle

DeltaABC is an isosceles triangle with AB = AC. Side BA is produced to D such that AB = AD. Prove that angleBCD is a right angle.

DeltaABC is an isosceles triangle with AB=AC , side BA is produced to D such that AB=AD. Prove that angleBCD is a right angle.

ABCD is a square. P, Q and Rare the points on AB, BC and CD respectively, such that AP = BQ = CR. Prove that: PB = QC

ABCD is a square. P, Q and Rare the points on AB, BC and CD respectively, such that AP = BQ = CR. Prove that: PQ = QR

In an isosceles DeltaABC , D, E, F are the mid-points of the base BC and two equal sides AB and AC respectively. Then :