Quadrilateral +Circle

ABCD is a quadrilateral with area 18,with side AB parallel to CD and AB=2CD.Angle BAD=90°. If a circle is drawn inside ABCD touching all the sides,then its radius is what?

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62
Lokesh Verma ·

ABCD is a quadrilateral with area 18,with side AB parallel to CD and AB=2CD.Angle BAD=90°. If a circle is drawn inside ABCD touching all the sides,then its radius is what?

This one is not very difficult nikhil

Can you prove that for such a quadrilateral to have a circle inscribed it, the sum of opposite sides are equal?

(Sorry for the late reply on this one. I missed this question :(

1
Nikhil Bajoria ·

No problem sir...that's ok.

and yes, i used your clue.

so, AB=6, BC=5, CD = 3 and AD = 4.

By diagram, is the required radius (AD/2)=2?

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