Question
Draw $\triangle\text{ABC}$ in which AB = 5.5cm. BC = 6cm and CA = 7cm. Also, draw perpendicular bisector of side BC.

Answer


Steps of construction:
Step I: Draw a line segment AB of length 5.5cm.
Step II: From B, cut an arc of radius 6cm.
Step III: With centre A, draw an arc of radius 7cm intersecting the previously drawn arc at C.
Step IV: Join AC and BC to obtain the desired triangle.
Step V: With centre B and radius more than half of BC, draw two arcs on both sides of BC.
Step VI: With centre C and the same radius as in the previous step, draw two arcs intersecting the arcs drawn in the previous step at X and Y.
Step VII: Join XY to get the perpendicular bisector of BC.

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