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Geometry

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Determine whether the triple of numbers can be the sides of a right triangle. Please explain.

6, 8, 10


Squareroot of 2, Squareroot of 3, Squareroot of 10

  • Geometry -

    If it is a right-angled triangle, then clearly the largest number would have to be the hypotenuse.
    so test if 6^2 + 8^2 = 10^2 ?
    Yes it is, so the 3 sides form a right-angled triangle.

    is (√2)^2 + (√3)^2 = (√10)^2 ?
    What do you think?
    What is your conclusion?

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