# In the adjoining figure, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm,

**Question:**

In the adjoining figure, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm, BC = 9 cm and CD = 8 cm. Find the length of AD

**Solution:**

We know that when a quadrilateral circumscribes a circle then sum of opposites sides is equal to the sum of other opposite sides.

∴ AB + CD = AD + BC

⇒6 + 8 = AD + 9

⇒ AD = 5 cm