Question

A circle touches all the four sides of a quadrilateral abcd with ab = 6 cm bc = 7 cm and cd = 4 cm find a b

Answer 1

Answer:

Mistake in ques:- AB is already given.....

Let P,Q,R,S be the points where the circle touches the quadrilateral .From a point out side of the circle  the two tangents to the circle are equal.

AP = AS,BP = BQ , CR = CQ , and DR = DS

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

AB + CD = AD + BC

6 + 4 = AD + 7

AD = 3 cm .