Question

circle touches all the sides of quadrilateral ABCD,IF AB=7 ,BC=3,CD=4,then AD=_____

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Answer 1

Answer:

AD is 3 cm

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Answer 2

AD=8 units

Step-by-step explanation:

In quadrilateral ABCD

AB=7 units

BC=3 units

CD=4 units

Suppose circle touch the quadrilateral ABCD and side AB at P,BC at Q,CD at R and AD at S.

We know that tangents drawn from external point to the circle are equal in length.

Therefore, AP=AS

PB=BQ

CR=QC

DR=DS

Adding all then we get

AP+PB+CR+DR=AS+BQ+QC+DS

AB+CD=AD+BC

Substitute the values

$7+4=AD+3$

$AD=7+4-3=8$

AD=8 units

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