+3 votes
in Mathematics by kratos

The lengths of three consecutive sides of a quadrilateral circumscribing a circle are 4 cm, 5 cm and 7 cm respectively. Determine the length of the fourth side.

1 Answer

+1 vote
by kratos
 
Best answer

Given

AB = 7, BC = 5, CD = 4

Length of the tangent drawn from an external point to the circle are equal

Therefore

AB = CD = BC + AD

7 + 4 = 5 + AD

AD = 11 - 5 = 6

...