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zhane2015

  • 3 years ago

A triangle has side lengths of 12 cm, 15 cm, and 20 cm. Classify it as acute, obtuse, or right. (1 point) acute obtuse right There is not enough information.

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  1. zhane2015
    • 3 years ago
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    I wanna choose Right...

  2. Directrix
    • 3 years ago
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    By the converse of the Pythagorean Theorem, if 20^2 = 15^2 + 12^2, then "right" is correct. Check the arithmetic and let us know. @zhane2015

  3. Directrix
    • 3 years ago
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    What is 20*20?

  4. zhane2015
    • 3 years ago
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    400

  5. Directrix
    • 3 years ago
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    Good. What is 15 times 15?

  6. Directrix
    • 3 years ago
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    You can enter "15 times 15" in the Google search box and get the product. @zhane2015

  7. Directrix
    • 3 years ago
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    > I wanna choose Right... @zhane2015 Suggest you not choose until the arithmetic is done.

  8. zhane2015
    • 3 years ago
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    225

  9. Directrix
    • 3 years ago
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    Okay. I'll do 12 times 12 to get 144.

  10. Directrix
    • 3 years ago
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    12 cm, 15 cm, and 20 cm. ------------------------ Question: Is 12^2 + 15^2 = 20^2 That is, is 144 + 225 = 400? Yes or No?

  11. zhane2015
    • 3 years ago
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    no

  12. Directrix
    • 3 years ago
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    Okay. Therefore, the triangle is NOT Right. That leaves Obtuse and Acute. Check out this attachment below: (comes from http://jwilson.coe.uga.edu/emt668/emat6680.folders/brooks/6690stuff/righttriangle/pythagconv.html )

  13. zhane2015
    • 3 years ago
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    OMG you're the Best!

  14. Directrix
    • 3 years ago
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    Let's test for acute. Is 400 < 225 + 144 [ Is 20^2 < 12^2 +15^2 ] Yes or No? @zhane2015

  15. zhane2015
    • 3 years ago
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    no

  16. zhane2015
    • 3 years ago
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    So it's obtuse

  17. Directrix
    • 3 years ago
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    Correct.

  18. zhane2015
    • 3 years ago
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    Thank You so much I really appreciate it

  19. Directrix
    • 3 years ago
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    Glad to help. Learn that theorem on the chart and you'll get all this type problem correct.

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