Question

Construct a transverse common tangent to two circles of radii $3$ cm and $2$ cm whose centres are $9$ cm apart. Measure its length and write.

Answer 1

$R=3$ cm $\left(C_1\right)$ ....For $C_1,C_2,C_3$ circles
$r=2$ cm $(C_2$) ....Distance between two centres of circles $AB$
$R+r=5$ cm $\left(C_3\right)$ ....To find midpoint $X$.
$d=9$ cm ....Construction of tangent $LB$
T.C.T Construction of tangent $PQ$
Length of T.C.T $=PQ=7.5$ cm