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OpenStudy (winsteria):
MEDAL AND FAN
How many triangles can be constructed with angles measuring 35º, 62º, and 83º?
A.
0
B.
1
C.
2
D.
an infinite number
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OpenStudy (winsteria):
D? @Mehek14 @dtan5457 @acxbox22
Mehek (mehek14):
add them up
Mehek (mehek14):
if they're >180 or 180< , they can't be triangles
OpenStudy (ybarrap):
All triangles have angles that add to 180. If you have three angles how many other ways can you create a triangle with 180 degrees with these three?
OpenStudy (winsteria):
I don't know
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OpenStudy (winsteria):
Is it D though? @ybarrap
OpenStudy (ybarrap):
35+62+83=180
This is one triangle. Can you make another with these three angles?
OpenStudy (winsteria):
So 1? @ybarrap
OpenStudy (ybarrap):
3 angles adding up to 180 means one solution, one triangle.
OpenStudy (ybarrap):
If you had 35+63+\(x\)=180
You would still have only one triangle possible, because the only thing \(x\) can be is 83 to produce as a sum of 180.
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OpenStudy (winsteria):
Thank you
OpenStudy (ybarrap):
You're welcome
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