Q3 of 26 Page 86

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

Steps of Construction:


1.Construct ΔXYZ of given dimensions.



2.Draw bisectors of two angles, ∠X and ∠Y.


3.Denote the point of intersection as O.


4.Draw perpendicular OA on XY.



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



More from this chapter

All 26 →
1

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

 2

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

 4

In ΔLMN, LM = 7.2cm, ∠M = 1050, MN = 6.4cm, then draw ΔLMN and construct its circumcircle.

 5

Construct ΔDEF such that DE = EF = 6 cm, ∠F = 450 and construct its circumcircle.