Question

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangent to the circle and measure their lengths.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Construct a circle with radius =6cm and centre be C

Locate a point A which is 10 cm from C

Then find the perpendicular bisector of line joining points C and A. lets say the mid point will be M.

Now draw an 'another circle with centre at M and radius =6cm(CA/2) and lets say this circle cuts the previous circle at 

points N and Q then draw the lines AB and AN which are our external tangents.

Sinces △CSA is right  angle triangle at L.S=90°

Therefore using pythagoras theorem

(CQ)2+(SN)2=(CA)2

(10)2−(6)2=(QN)2

QN=8cm is the length of  the tangent.