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Question

Construct a triangle whose perimeter is 9.8 cm and the base angles are 45 and 60.

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Solution

1. Draw a line PQ such that PQ=AB+BC+AC=9.8 cm.
2. Construct angle P=60 and angle Q=45.
3. Bisect both angles. Let the angle bisectors meet at A.
4. Join AP and AQ.
5. Draw perpendicular bisectors of AP and AQ.
6. Perpendicular bisector of AP meet PQ at B and that of AQ at C.
7. Join AB and AC.
8. ABC is the required triangle.

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