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Question
Construct an isosceles ∆ MNP such that base MN = 5.8 cm, base angle MNP = 30°. Construct an incircle to this triangle and measure its radius.
Solution
Steps of Construction :
(i) Draw a line segment MN = 5.8 cm.
(ii) At M and N, draw two rays making an angle of 30° each which intersect each other at P.
(iii) Now draw the angle bisectors of ∠M and ∠N which intersects each other at I.
(iv) From I, draw the perpendicular IL on MN.
(v) With centre I and radius IL, draw a circle which touches the sides of the Δ PMN internally.
On measuring the required incircle and its radius is 0.6 cm.
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