Q1 of 26 Page 86

Construct ΔABC such that ∠B = 1000, BC = 6.4, ∠C = 500 and construct its incircle.

Steps of Construction:


1.Construct ΔABC of given dimensions.



2.Draw bisectors of two angles, ∠A and ∠B.


3.Denote the point of intersection as O.


4.Draw perpendicular OP on AB.



5.Draw a circle with O as center and OP as radius.



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Seg PM and seg PN are congruent chords of a circle with center C. Show that the ray PC is the bisector of ∠NPM.

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Construct ΔPQR such that ∠700, ∠R = 500, QR = 7.3cm, and construct its circumcircle.

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