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OpenSessame

A triangle has side lengths 10, 15, and 7. Is the triangle acute, obtuse, or right? Explain

  • 7 months ago
  • 7 months ago

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  1. OpenSessame
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    MY ANSWER: Obtuse, because to find if the triangle is right, acute or obtuse you use the Pythagorean Theorem. You plug in the two smaller numbers in the equation to it looks like this, 7^2+10^2=12.2. Since the hypotenuse given in the problem is larger than the hypotenuse you get in the theorem it is obtuse. Is this right?

    • 7 months ago
  2. RadEn
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    7, 10, 15 are the sides of triangle. if 7^2 + 10^2 < 15^2 be right, then it is an obtuse. YOU ARE RIGHT

    • 7 months ago
  3. OpenSessame
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    Really? Okay then i am really confused...Because my teacher said repeatedly that i was wrong?

    • 7 months ago
  4. RadEn
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    the answer already be right, but your reason not yet :) generally, if given 3 sides of a triangle a, b, and c with a < b < c. so, if a^2 + b^2 < c^2 then it is an obtuse triangle if a^2 + b^2 = c^2 then it is a right triangle if a^2 + b^2 > c^2 then it is a cute triangle

    • 7 months ago
  5. OpenSessame
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    I see, but she said my work was corrrect but my conclusion wasnt...

    • 7 months ago
  6. OpenSessame
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    I'm really starting to doubt teachers...

    • 7 months ago
  7. RadEn
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    yes, because you said it is right triangle. that's the mistake, just check bellow : if given 3 sides of a triangle a, b, and c with a < b < c. so, (1) if a^2 + b^2 < c^2 then it is an obtuse triangle (2) if a^2 + b^2 = c^2 then it is a right triangle (3) if a^2 + b^2 > c^2 then it is a cute triangle

    • 7 months ago
  8. OpenSessame
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    I said it was obtuse

    • 7 months ago
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