Draw a line AB
line AB of length 5cm.
Mark a point 4 am aboue the
line parallel to AB through the
point hom
AB. Draw a line parallel
to AB through this point.
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MATHS
Draw a line AB=5 cm . Mark a point C on AB such that AC=3 cm . using a ruler and a compass only construct :
(i) a circle of radius 2.5 cm passing through A and C .
(ii) construct two tangents to the circle from the external point B .
Measure and record the lengths of the tangents .
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ANSWER
steps for construction
· draw AB=5cm
· with A as centre cut an arc of 3cm on AB and mark it C
· with A as centre and radius 2.5cm, draw an arc and mark it O
· with O as centre and radius 2.5cm, draw a circle so that points A and C lie on the circle formed
· join OB
· draw perpendicular bisector of OB to obtain mid point of OB, M
· with M as the centre and radius equal to OM, draw a circle to cut the previous circle at point P and Q
· join PB and QB, PB and QB are required tangents to the given circle from exterior point B
QB=PB=3cm
The length of the tangents is 3cm
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