geometry

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1. A triangle has side lengths of 8, 10, and 12. what kind of triangle is it?
2. A triangle has side lengths of 3, 4, and 7. what kind of triangke is it?

  • geometry -

    take the two smaller sides, call them a and b. call the longest side c.

    if a^2 + b2 = c^2 you have a right triangle

    if < c^2 it's acute
    if > c^2 it's obtuse

    in addition, if you can find a,b,c such that

    a=b=c it's equilateral
    a=b≠c it's isosceles
    a≠b≠c it's scalene

    plug in your numbers and make your choice.

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