Question

A circle touches all the four sides of a quadrilateral ABCD, whose sides are AB = 6 cm. BC = 7 cm and CD = 4 cm. Find the length of the side AD.

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

If circle touches all the sides of a quadrilateral ABCD, then

AB + CD = BC + AD. (1)

Now, we know
AB = 6cm
BC = 7cm and
CD = 4cm
So,
6 + 4 = 7 + AD. [from (1)]
10-7 = AD.
AD =3cm.