anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I wanna choose Right...
Directrix
  • Directrix
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
Directrix
  • Directrix
What is 20*20?

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anonymous
  • anonymous
400
Directrix
  • Directrix
Good. What is 15 times 15?
Directrix
  • Directrix
You can enter "15 times 15" in the Google search box and get the product. @zhane2015
Directrix
  • Directrix
> I wanna choose Right... @zhane2015 Suggest you not choose until the arithmetic is done.
anonymous
  • anonymous
225
Directrix
  • Directrix
Okay. I'll do 12 times 12 to get 144.
Directrix
  • Directrix
12 cm, 15 cm, and 20 cm. ------------------------ Question: Is 12^2 + 15^2 = 20^2 That is, is 144 + 225 = 400? Yes or No?
anonymous
  • anonymous
no
Directrix
  • Directrix
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 )
anonymous
  • anonymous
OMG you're the Best!
Directrix
  • Directrix
Let's test for acute. Is 400 < 225 + 144 [ Is 20^2 < 12^2 +15^2 ] Yes or No? @zhane2015
anonymous
  • anonymous
no
anonymous
  • anonymous
So it's obtuse
Directrix
  • Directrix
Correct.
anonymous
  • anonymous
Thank You so much I really appreciate it
Directrix
  • Directrix
Glad to help. Learn that theorem on the chart and you'll get all this type problem correct.

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