kaitlyn_nicole
  • kaitlyn_nicole
will fan/metal. Determine whether each set of numbers can be measure of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right.
Mathematics
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chestercat
  • chestercat
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kaitlyn_nicole
  • kaitlyn_nicole
10, 11, 20
Directrix
  • Directrix
Determine whether each set of numbers can be measure of the sides of a triangle. Use the Triangle Inequality Theorem: One side of a triangle has measure less than the sum of the other two.
kaitlyn_nicole
  • kaitlyn_nicole
so if the third number is less than the sum of the other two, it is a triangle?

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Directrix
  • Directrix
10, 11, 20 Is 10 < 11 + 20 ? Is 11 < 10 + 20 ? Is 20 < 10 + 11 ? You need 3 yeses to go to the next step.
kaitlyn_nicole
  • kaitlyn_nicole
so that is a triangle
kaitlyn_nicole
  • kaitlyn_nicole
and how do i figure out what type of triangle
Directrix
  • Directrix
Any side could be the third side. That is why there are three questions to consider before declaring those as sides of triangles.
kaitlyn_nicole
  • kaitlyn_nicole
ooh, and then you use my pythagorean theorem to find out if its acute, obtuse, or right? correct?
kaitlyn_nicole
  • kaitlyn_nicole
yeah!
kaitlyn_nicole
  • kaitlyn_nicole
thanks!
Directrix
  • Directrix
If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.
Directrix
  • Directrix
If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then the triangle is an obtuse triangle.
Directrix
  • Directrix
If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
kaitlyn_nicole
  • kaitlyn_nicole
thanks dude!
Directrix
  • Directrix
20^2 < 10^2 + 11^2 So, what kind of triangle is it? @kaitlyn_nicole
kaitlyn_nicole
  • kaitlyn_nicole
ummm, acute?
kaitlyn_nicole
  • kaitlyn_nicole
because 400 < 244 is incorrect
Directrix
  • Directrix
Acute. yes.
kaitlyn_nicole
  • kaitlyn_nicole
thanks!
Directrix
  • Directrix
You are welcome.

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