Mathematics
Draw a line AB = 6 cm. Construct a circle with AB as diameter. Mark a point P at a distance of 5 cm from the mid-point of AB. Construct two tangents from P to the circle with AB as a diameter. Measure the length of each tangent.
Constructions
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Answer
Draw a line segment AB = 6 cm.
Mark the mid-point of AB as O. Now as radius OA = 3 cm or OB = 3 cm construct a circle.
Mark a point P at a distance of 5 cm from O. Join OP. Draw its perpendicular bisector to meet OP at M.
With M as centre and OM (or MP) as radius, draw a circle. Let this circle intersect the given circle at points C and D.
Join PC and PD.
Thus, PC and PD are tangents to the circle with diameter AB. On measuring, the length of tangent = 4 cm.
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