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Question

In figure, a circle touches all the four sides of a quadrilateral ABCD, whose sides AB=6cm, BC=7cm, and CD=4cm. Length of AD is
207588_565f3e4b1166438cbfbd60ceb7166844.png
  1. 7 cm
  2. 3 cm
  3. 10 cm
  4. 4 cm

A
10 cm
B
7 cm
C
4 cm
D
3 cm
Solution
Verified by Toppr

Given : A circle inscribed in a quadrilateral ABCD,AB=6cm,BC=7cm,CD=4cm.
To find : AD
Proof : Let the circle touch the sides AB,BC,CD,DA, at P,Q,R and S, respectively.

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