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Construct ∆XYZ such that XY = 6.7 cm, YZ = 5.8 cm, XZ = 6.9 cm. Construct its incircle.

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Steps of construction: 

i. Construct ∆XYZ of the given measurement 

ii. Draw the bisectors of ∠X and ∠Z. Let these bisectors intersect at point I. 

iii. Draw a perpendicular IM on side XZ. Point M is the foot of the perpendicular. 

iv. With I as centre and IM as radius, draw a circle which touches all the three sides of the triangle.

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