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ABC is a triangle. Locate a point in the interior of ΔABC which is equidistant from all the vertices of ΔABC. - Mathematics

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प्रश्न

ABC is a triangle. Locate a point in the interior of ΔABC which is equidistant from all the vertices of ΔABC.

उत्तर

Circumcentre of a triangle is always equidistant from all the vertices of that triangle. Circumcentre is the point where perpendicular bisectors of all the sides of the triangle meet together.

In ΔABC, we can find the circumcentre by drawing the perpendicular bisectors of sides AB, BC, and CA of this triangle. O is the point where these bisectors are meeting together. Therefore, O is the point which is equidistant from all the vertices of ΔABC.

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अध्याय 7: Triangles - Exercise 7.5 [पृष्ठ १३३]

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एनसीईआरटी Mathematics [English] Class 9
अध्याय 7 Triangles
Exercise 7.5 | Q 1 | पृष्ठ १३३

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