Mathematics
In adjoining figure, AB = 9 cm, PA = 7.5 cm and PC = 5 cm. Chords AD and BC intersect at P.
(i) Prove that Δ PAB ∼ Δ PCD.
(ii) Find the length of CD.
(iii) Find the area of Δ PAB : area of Δ PCD.
Related Questions
In the figure (i) given below, PR is a diameter of the circle, PQ = 7 cm, QR = 6 cm and RS = 2 cm. Calculate the perimeter of the cyclic quadrilateral PQRS.
In the figure (ii) given below, the diagonals of a cyclic quadrilateral ABCD intersect in P and the area of the triangle APB is 24 cm2. If AB = 8 cm and CD = 5 cm, calculate the area of △DPC.
In the figure (i) given below, QPX is the bisector of ∠YXZ of the triangle XYZ. Prove that XY : XQ = XP : XZ.
In the figure (ii) given below, chords BA and DC of a circle meet at P. Prove that
(i) ∠PAD = ∠PCB
(ii) PA × PB = PC × PD.
