Mathematics
Using compasses and ruler, construct a ΔABC in which AB = 6 cm, BC = 7 cm and AC = 5 cm. Draw a circle inside the triangle touching its sides.
Answer
Steps of construction :
Draw BC = 7 cm.
With B as centre, draw an arc of radius 6 cm.
With C as the centre, draw an arc of radius 5 cm.
Join AB and AC to form ΔABC.
Construct the angle bisector BH and CI of ∠ABC and ∠ACB respectively.
Let the two angle bisectors intersect at point P.
Draw PD perpendicular to BC. With P as centre and PD as radius, draw a circle.
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