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 ‘d’ cm

    Therefore, ‘d’ = 2 × √(r 1  × r 2 ) = 2 × √(18 × 32) = 2 × 24 = 48 cm

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