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22 October, 09:59

In the diagram, segment dc is tangent to the circle, ac = 12 cm, and bd = 2 square root of 34 cm. What is ad? ... a. 10 cm. b. 12 cm. c. 2 square root of 61 cm. d. 130 cm

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  1. 22 October, 13:58
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    We will use the Pythagorean Theorem:

    CD² + 6² = (2√34) ²

    CD² + 36 = 136

    CD² = 136 - 36

    CD² = 100, CD = 10

    And then again:

    AD² = 10² + 12²

    AD² = 100 + 144

    AD² = 244

    AD = √244 = √ (4·61) = 2√61

    Answer: C) 2 square root of 61
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