If a triangle has sides of lengths 5, 8 and 12, it is a right triangle. true or false

Question

If a triangle has sides of lengths 5, 8 and 12, it is a right triangle. true or false

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Kaylee 2 weeks 2021-09-11T01:48:19+00:00 1 Answer 0

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    2021-09-11T01:49:34+00:00

    Answer:

    False.

    Step-by-step explanation:

    To see if these sides can form a right triangle, all we need to do is see if the following equation holds a^2+b^2=c^2 where c is the larger measurement.  a \text{ and } b it doesn’t really matter which you assign as 5 or 8.

    So I’m choosing the following a=5,b=8,c=12.

    c has to be 12 because 12 is the largest.

    Now we got to see if a^2+b^2=c^2 holds.

    That is, we need to see if 5^2+8^2=12^2 holds.

    5^2+8^2=12^2

    25+64=144

    89=144

    That’s totally false.  89 is definitely not 144 so 5,8, and 12 cannot be put together to form a right triangle.

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