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Vertices of a triangle are (0, 0) , (1, O) and (O, 1).Then radius of its circumcircle will be

Vertices of a triangle are (0, 0) , (1, O) and (O, 1).Then radius of its circumcircle will be

Grade:11

1 Answers

Aamina
64 Points
7 years ago
The vertices given in the question form a right angled triangle. Right angled at origin.
The circumcentre of a right angled triangle is the midpoint of hypotenuse and circumradius is  half the length of hypotenuse.
From the distance formula, length of hypotenuse is sqrt(2).
Hence circum radius is 1/sqrt(2).

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