The distance between the centres of two circles of radius 2.5 cm each is 13 cm. The length (in cm)of a transverse common tangent is:
Radius of first circle ($$r_1$$) = 2.5 cm
Radius of second circle ($$r_2$$) = 2.5 cm
The distance between centres of two circles ($$d$$) = 13 cm
$$\therefore\ $$Length of the common tangent = $$\sqrt{d^2-\left(r_1+r_2\right)^2}$$
$$=\sqrt{13^2-\left(2.5+2.5\right)^2}$$
$$=\sqrt{169-25}$$
$$=\sqrt{144}$$
$$=$$ 12 cm
Hence, the correct answer is Option A
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