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anonymous

  • one year ago

Very easy! Ready? A triangle has side lengths of 34 in, 28 in, and 42 in. is this triangle acute,obtuse, or right?

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  1. anonymous
    • one year ago
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    What do you think the answer is?

  2. anonymous
    • one year ago
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    I already have the answer. It would ruin it.

  3. triciaal
    • one year ago
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    |dw:1438054391038:dw| think obtuse

  4. wolf1728
    • one year ago
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    Wouldn't you use the law of cosines to get one angle, then use the law of sines?

  5. anonymous
    • one year ago
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    so your answer is obtuse.

  6. triciaal
    • one year ago
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    yes because one angle is more than 90 but I don't see a triangle with those measurements

  7. triciaal
    • one year ago
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    @wolf1728 yes

  8. wolf1728
    • one year ago
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    I know the answer - it is acute

  9. triciaal
    • one year ago
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    can you really make a triangle with those measurements?

  10. anonymous
    • one year ago
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    Why would it be acute wolf?

  11. wolf1728
    • one year ago
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    I used an online triangle calculator Still, I'm sure your instructor would want it worked out right?

  12. anonymous
    • one year ago
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    The answer is acute.

  13. anonymous
    • one year ago
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    You got it right.

  14. wolf1728
    • one year ago
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    Okay - they just don't want people to give out answers directly. Do you want it worked out?

  15. anonymous
    • one year ago
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    No, its fine.

  16. wolf1728
    • one year ago
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    Okay then :-)

  17. triciaal
    • one year ago
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    can you get a triangle with those measurements?

  18. wolf1728
    • one year ago
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    Let's use the Law of Cosines cos (A) = (b^2 + c^2 -a^2) / (2*b*c) cos (A) = (34^2 + 42^2 -28^2) / (2*34*42) cos (A) = 2,136 / 2,856 cos (A) = 0.7478991597 Angle A = 41.591 Degrees For the second angle, let's use the Law of Sines sin (B) = (b • sin(A)) / a sin (B) = (34 * sin (41.591))/a sin (B) = (34 * 0.66381)/28 sin (B) = 0.806055 Angle B = 53.712 Angle C = 180 -41.591 -53.712 Angle C = 84.697 All 3 angles are less than 90 degrees and therefore it is a right triangle.

  19. triciaal
    • one year ago
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    @wolf1728 thank you error on the last line not right triangle acute triangle I was told to always find the largest angle first seems like it does not really matter My concern was the lengths isn't there some rule about the possible lengths of the 3rd side given 2 lengths? but my 2 mistakes 1) since the factor would make the requirement 35 and we only had 34 should know acute 2) name the triangle by the angles since one angle was obtuse the triangle obtuse

  20. wolf1728
    • one year ago
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    Geez, I did all that work and TYPED the wrong answer!! All angle less than 90 degrees so it is an ACUTE triangle.

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