Question

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5.2) Circumcenter of obtuse angled
triangle is .......of the triangle.
(1 Point)
In the exterior
On the triangle
In the interior​

Answer 1

Answer:

The circumcenter of an acute angled triangle is located inside the triangle. The circumcenter of an obtuse angled triangle is located outside the triangle. Where does the circumcenter of a right angled triangle lie?

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ANSWER

Circumcenter is the point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices.The circumcenter of an acute angled triangle is located inside the triangle. The circumcenter of an obtuse angled triangle is located outside the triangle. Where does the circumcenter of a right angled triangle lie?

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ANSWER

Circumcenter is the point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices.

If we draw the perpendicular bisectors of the sides of a right angled triangle, they intersect on the Hypotenuse of the triangle. Hence the circumcenter of a right angle triangle lies on the triangle.

If we draw the perpendicular bisectors of the sides of a right angled triangle, they intersect on the Hypotenuse of the triangle. Hence the circumcenter of a right angle triangle lies on the triangle.