3. a) Draw a line AB = 5cm and a point C on it. Draw a line CDperpendicular to AB. About the author Caroline
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 Reply
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