Construct a triangle whose perimeter is 10cm and base angles are 45 degree each.
Let ABC be the required triangle.
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- 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...