# If the distance between centres of two circles of equal radius 6 cm is 15 cm, then, find the length of the transverse common tangent.

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If the distance between centres of two circles of equal radius 6 cm is 15 cm, then, find the length of the transverse common tangent.
1. 4 cm
2. 9 cm
3. 15 cm
4. 11 cm

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Correct Answer - Option 2 : 9 cm

Given:

⇒ distance between centres of circles= 15 cm

⇒ Radius of circles = 6 cm

Calculation:

⇒ Length of transverse common tangent = √{(15)2 – (6 + 6)2} = 9 cm

∴ Length of transverse common tangent = 9 cm