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    Question

    What is the measure of the radius of the circle that

    forms a triangle whose sides are 8 units, 15 units, and 17 units?
    A 17 units Correct Answer Incorrect Answer
    B 10.5 units Correct Answer Incorrect Answer
    C 8.5 units Correct Answer Incorrect Answer
    D 9 units Correct Answer Incorrect Answer

    Solution

    AC-17, AB=15, BC = 8 AC² = AB+BC 289=225+64 Hence Triangle ABC is a right-angled triangle. Therefore, a triangle that is inside a circle is right-angled, then the hypotenuse is the diameter of the circle. Hence the radius of the circle CO = OA = AC (diameter) = 17/2 radius = 8.5 units​

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