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Find the other diagonal (Circle basics conceptual question)

Sujoy Das

01/02/2018 2 0

Question

The sides of a cyclic quadrilateral taken in an order are 15 cm, 21 cm, 18 cm and 20 cm. If one of its diagonals is 23 cm, then find the other diagonal.
(A) 48 cm, (B) 32 cm, (C) 26 cm (D) 30cm

solution

product of diagonals = sum of products of opposite sides

23*x= 270+420 = 690
x= 30

or
use Ptolemy theorem
((18*15) + (20*21))/23 = 30

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