Question

Two circles of radii $4cm$ and $2cm$ have their centres $10cm$ apart. Draw a two direct common tangents and measure their length.

Answer 1

Here $d=10$ cm, $R=4$ cm, $r=2$ cm and $R-r=4-2=2$ cm
For $C_1,C_2,C_3$ circles, distance between two centres of circles $-AB$.
To find midpoint $C$:
Construction of tangents $BD$ and $BE$
Construction of tangents $FH$ and $GI$
Length of tangents
$FH=GI=9.7$ cm or $9.8$ cm