Math

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Which of the triangles described in the table is a right triangle?

Triangles: Q, R, S, T
Side 1: Q = 25, R = 26, S = 25, T = 25
Side 2: Q = 20, R = 20, S = 20, T = 26
Side 3: Q = 15, R = 26, S = 1,025, T = 650

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    Thanks to whoever can help me answer this.

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    I think Side 2? I think. Your Welcome :)

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    Maybe.

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    No, the triangles are named Q, R, S and T.. there are three sides to each of them; Side 1, Side 2 and Side 3.
    But which one is a right triangle?

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    ohh Sorry :( my bad

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    It's okay, thanks for trying. :)

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    no problem sorry again have a nice day =)

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    ahh, so the triangles are grouped with sides:

    25,20,15 and
    26,20,26 and
    25,20,1025 and
    25,26,650

    we can immediately rule out the last 2 groups since they don't even form any kind of triangle

    So to be right-angled
    a^2 + b^2 = c^2 , where c is the longest side, the hyppotenuse

    is 20^2 + 15^2 = 25^2 ?
    400 + 225 = 625 ? YES

    is 26^2 + 20^2 = 26^2 , clearly NOT

    so 20, 15 , and 25 will form a right-angled triangle.

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    Ah, so it is Q! That is was I assumed, but I wasn't sure... I'm not too good at math. Thank you so much! :)

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