Question

A circle touches all the four sides of a quadrilateral abcd . If ab is the longest side prove that cd

Answer 1

Do u forget it question to write....???

so what we prove "CD"

Answer 2

From the figure we observe that,

DR = DS (Tangents on the circle from point D)

AP = AS (Tangents on the circle from point A)

BP = BQ (Tangents on the circle from point B)

CR = CQ (Tangents on the circle from point C)

Adding all these equations,

DR + AP + BP + CR = DS + AS + BQ + CQ

⇒ (BP + AP) + (DR + CR)  = (DS + AS) + (CQ + BQ)

⇒ CD + AB = AD + BC

i guess it will help you