Draw a circle with center O and radius 3 cm. Take point P outside the circle such that d (O, P) = 4.5 cm. Draw tangents to the circle from point P.
Steps of construction:
- With centre O, draw a circle of radius 3 cm.
- Take point P such that OP = 4.5 cm.
- Draw the perpendicular bisector of seg OP. It intersects OP in point M.
- With M as centre and radius equal to OM, draw an arc intersecting the circle in points R and S.
- Draw rays PR and PS.
Rays PR and PS are the required tangents to the circle.
Concept: To Construct Tangents to a Circle from a Point Outside the Circle.
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