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Question
For an acute angled triangle circumcenter lies ______ the triangle.
For an acute angled triangle circumcenter lies ______ the triangle.
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Solution
The correct option is B inside
Circumcenter of a triangle is formed by joining the perpendicular bisectors of three sides of triangle.As we draw perpendicular bisectors of three sides, they will intersect at one point(say O) which lies inside the circle.From that point of intersection, draw a circle touching each of the vertex of a triangle and we get a circumcircle. And O becomes centre of the circle.Hence, circumcenter lies inside the triangle.
Circumcenter of a triangle is formed by joining the perpendicular bisectors of three sides of triangle.
As we draw perpendicular bisectors of three sides, they will intersect at one point(say O) which lies inside the circle.
From that point of intersection, draw a circle touching each of the vertex of a triangle and we get a circumcircle. And O becomes centre of the circle.
Hence, circumcenter lies inside the triangle.
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