Question

draw a line segment AB is equal to 9 cm and locate point to C on AB such that 4 AC = 5 BC
please send fast
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Answer 1

Answer:

Solution

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

solution

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