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19 October, 03:17

In the diagram, FG=34, GH=288, and HJ=256. Is GH tangent to circle F?

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  1. 19 October, 06:18
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    No

    Step-by-step explanation:

    If GH is tangent to circle F, then it forms a right angle with FG. Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.

    34² + 256² = 288²

    66692 = 82944

    The sides are not a Pythagorean triple, so GH is not tangent to the circle.
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