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29 June, 07:55

Circles p and q have radii 6 and 2 and are tangent to each other. find the length of their common external tangent ab

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  1. 29 June, 08:56
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    Refer to the diagram shown below.

    x = the length of the common tangent to the two circles.

    From the Pythagorean Theorem,

    x² + 4² = 6²

    x² = 6² - 4² = 36 - 16 = 20

    x = √ (4) (5) = 2√5 = 4.472

    Answer: 2√5 or 4.472
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