Construct a triangle a ABC such that AB = 6.5 cm, AC = 6 cm and the altitude AP to
BC is 5 cm. Write a steps of construction:
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Step-by-step explanation:
Steps of Construction
1. Construct a line segment AB=6 cm.
2. Taking A as Centre and 6.5 cm as radius and B as Centre and 5.6 cm as radius construct arcs which intersect each other at point C.
3. Now join AC and BC.
4. Construct the angle bisector of ∠A and ∠B which intersect each other at point I.
5. From the point I construct IL which is perpendicular to AB.
6. Taking I as Centre and IL as radius construct a circle which touches the sides of ΔABC internally.
By measuring the required incircle the radius is 1.6 cm.
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