Question

Draw a circle of radius 6cm.From a point 10cm away from the its centre,construct the pair of tangents to the circle and measure their lengths.Verify by using pythogoras theorem.pls the question pls jalde​

Answer 1

Answer:

Refer the attachment...

Step-by-step explanation:

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  

$= 6 \: cm \times \frac{ca}{2}$

and lets say this circle cuts the previous circle at 

points N and Q then draw the lines AB and ANwhich 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

Therefore ,

QN = 8cm is the length of  the tangent.