Home › Forums › Math › Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

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  • July 19, 2021 at 1:29 pm #9922
    nazrina
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      A) acute, because 10^2 + 12^2 >15^2
      B) acute, because 12^2 + 15^2 >10^2
      C) obtuse, because 10^2 + 12^2 >15^2
      D) obtuse, because 12^2 + 15^2 >10^2

      July 19, 2021 at 2:37 pm #9995
      nazrina
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        The correct option is (A)

        Explanation:

        If a^2 + b^2 = c^2 ,then triangle will be right angled.
        If a^2 + b^2 > c^2 ,then theta will be acute.
        If a^2 + b^2 < c^2 ,then theta will be obtuse.

        Here,10^2 + 12^2 =244 > 15^2
        Therefore, option (A) will be correct

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