A circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 8.4 cm, BC = 9.8 cm and CD = 5.6 cm. The length of side AD, in cm, is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4.2
When a circle is inscribed in a quadrilateral then the sum of two opposite sides is equal.
⇒ AB + CD = AD + BC
⇒ 8.4 + 5.6 = 9.8 + AD
⇒ AD = 14 - 9.8
⇒ AD = 4.2