SSC
Quantitative Aptitude
Mensuration
Question Bank
Mensuration-I (I)
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, \[\therefore \] \[AB+CD=BC+AD\] \[\Rightarrow \] \[7+92=8.5+DA\]\[\Rightarrow \]\[162=8.5=DA\] \[\therefore \] \[DA=162-8.5=7.7\,cm\]