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Question

Circumcenter of a right angled triangle lies outside the triangle.

A

True

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B

False

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Solution

The correct option is B

False


Let ABC be right angled at B. Circumcircle is a circle which passes through all three vertices A,B,C of a

triangle

For a right angled triangle circumcenter lies on the hypotenuse and it is mid point of the hypotenuse.

Let D be the circumcenter of the right angled triangle ABC

where

AD=BD=CD

D is the midpoint of the hypotenuse AC

Circumcenter of a right angled triangle lies on the triangle

So,given statement is false.


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