Construct a triangle whose perimeter is 10cm and base angles are 45 degree each.

Let ABC be the required triangle.
  • Draw a line segment PQ = 10cm. 
  • Construct angle P and Q = 45 degree
  • Construct the angle bisectors of these two angle ( bisect angle 45 degree )  and let the bisectors intersect each other at point A
  • Now,construct the perpendicular bisector of line segment AP and AQ and let the perpendicular bisectors meet line segment PQ at B and C respectively.
  • Join AB and AC.
  • Triangle ABC is the required triangle.


Hope it helped...

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