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    Question

    Two circles have radii of 18 cm and 32 cm, and they touch

    each other externally. What is the length of a common tangent between them?
    A 22.5 cm Correct Answer Incorrect Answer
    B 48 cm Correct Answer Incorrect Answer
    C 40 cm Correct Answer Incorrect Answer
    D 20√2 cm Correct Answer Incorrect Answer

    Solution

    Let the length of the common tangent be β€˜d’ cm

    Therefore, β€˜d’ = 2 Γ— √(r 1 Β Γ— r 2 ) = 2 Γ— √(18 Γ— 32) = 2 Γ— 24 = 48 cm

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