The triangle formed is an obtuse-angled triangle. In every obtuse-angled triangle, the circumcentre lies outside the triangle. Therefore, the centre of the circumcircle is outside the triangle.
Draw ΔABC with AB = 5 cm, ∠A = 100°, AC = 4 cm. Draw the circumcircle of ΔABC. Is the centre inside or outside the triangle?
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The given construction forms an obtuse-angled triangle. In an obtuse-angled triangle, the perpendicular bisectors of the sides intersect at a point outside the triangle. This point is called the circumcentre. A circle drawn with this point as the centre passes through all three vertices of the triangle. Hence, the circumcentre lies outside the triangle.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):
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