question_answer

Quadrilateral ABCD is circumscribed about a circle. If the lengths of AB, BC, CD are 7 cm, 8.5 cm and 9.2 cm respectively, then the length (in cm) of DA is [SSC CGL Tier II, 2015]

A) 16.2

B) 10.7

C) 7.2

D) 7.7

Correct Answer: D

Solution :

[d] According to the questions,                                     \[\therefore \]      \[AB+CD=BC+AD\]             \[\Rightarrow \]   \[7+92=8.5+DA\]\[\Rightarrow \]\[162=8.5=DA\]             \[\therefore \]      \[DA=162-8.5=7.7\,cm\]