Can You Help Mr. Pitot?

Geometry Level 1

In the quadrilateral A B C D ABCD above, A B = 5 AB=5 , B C = 7 BC=7 and C D = 6 CD=6 .

Given that it is possible to inscribe a circle in A B C D ABCD , find A D AD .


The answer is 4.

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1 solution

Akshat Sharda
Feb 8, 2016

This is a direct application of Pitot's theorem :

For a circle to be inscribed in a quadrilateral A B C D ABCD , A B + C D = B C + A D A D = 4 AB+CD=BC+AD \\ \therefore AD=\boxed{4} .

Great, the very theorem is called Pitot's Theorem.

Swapnil Das - 5 years, 4 months ago

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Can you please explain the theorem?

Navya Batra - 5 years, 4 months ago

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Please visit this wiki

Mehul Arora - 5 years, 4 months ago

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@Mehul Arora Thanks a lot.

Navya Batra - 5 years, 4 months ago

Could you elaborate on your solution?

I understood it because I knew the theorem. but new comers might not understand your solution.

Mehul Arora - 5 years, 4 months ago

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