Maharashtra State BoardSSC (English Medium) 7th Standard
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Perpendicular Bisectors of the Sides of an Obtuse-angled Triangle

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notes

Perpendicular Bisectors of the Sides of an obtuse-angled triangle:

  1. Use a ruler to draw an obtuse-angled triangle.
  2. Draw the perpendicular bisectors of each side of an obtuse-angled triangle.
  3. The perpendicular bisectors of the sides of an obtuse-angled triangle are concurrent.
  4. Name their point of concurrence ‘C’. Measure the distance between C and the vertices of the triangle. Note that CX = CY = CZ.

Properties of Perpendicular Bisectors of the Sides of an obtuse-angled triangle:

  • A triangle has 3 perpendicular bisectors.
  • The 3 perpendicular bisectors of the triangle are concurrent.
  • The point of concurrence i.e., C is called the circumcentre.
  • In an obtuse-angled triangle, the circumcentre is in the exterior of the triangle.
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