Question
Draw a triangle whose sides are of lengths $4\ cm, 5\ cm$ and $7\ cm$. Draw the perpendicular bisector of the largest side.
✓
Answer
Steps of construction:
Step I: Draw a line segment $PR$ of length $7\ cm.$
Step II: With centre $P$, draw an arc of radius $5\ cm.$
Step III: With centre $R$, draw an arc of radius $4\ cm$ intersecting the previously drawn arc at $Q.$
Step IV: Join $PQ$ and $QR$ to obtain the required triangle.
Step V: From $P$, draw arcs with radius more than half of $PR$ on either side.
Step VI: With the same radius as in the previous step, draw arcs from $R$ on either sides of $PR$ intersecting the arcs drawn in the previous step at $M$ and $N.$
Step VII: $MN$ is the required perpendicular bisector of the largest side.
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