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    Question

    ABC is an isosceles triangle inscribed in a circle. If

    AB = AC = 12тИЪ5 and BC = 24 cm then radius of circle is
    A 10 cm Correct Answer Incorrect Answer
    B 15 cm Correct Answer Incorrect Answer
    C 12 cm Correct Answer Incorrect Answer
    D 14 cm Correct Answer Incorrect Answer

    Solution

    we know if we draw a ъЮ▒ which AD is bisect BC in two equal part BD = DC = 12 Now apply PGT in тИЖADC AD = 24 If 0 in centre of circle. then OD = (24 тАУ r) Now apply PGT in тИЖOBD we get r2 = (12)┬▓ + (24 тАУ r)2 r2 тАУ (24 тАУ r )2 = 12┬▓ (r + 24 тАУ r )(r тАУ 24 + r) = 144 2r = 24 + 6 = 2r = 30 = r = 15

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