Mathematics
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OpenStudy (anonymous):
Which set of angles shows an obtuse triangle?
a) 71, 36, 73
b) 73, 91, 16
c) 90, 64, 26
d) 45, 82, 53
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jimthompson5910 (jim_thompson5910):
an obtuse triangle is a triangle that has one angle that is larger than 90 degrees
OpenStudy (anonymous):
but less than 180 right ?
jimthompson5910 (jim_thompson5910):
example:
|dw:1345226852284:dw|
jimthompson5910 (jim_thompson5910):
yes, also less than 180
OpenStudy (anonymous):
ohh okay, so I would add them & they would have to be greater than 90 but less than 180?
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jimthompson5910 (jim_thompson5910):
no, just a single angle
jimthompson5910 (jim_thompson5910):
if any one angle is greater than 90 but less than 180, then it's part of an obtuse triangle
jimthompson5910 (jim_thompson5910):
you're thinking of adding up the angles to get 180 (which verifies that you have a triangle in general)
OpenStudy (anonymous):
they all equal 180 though
jimthompson5910 (jim_thompson5910):
so they all form triangles, but which ones are obtuse triangles?
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OpenStudy (anonymous):
d?
jimthompson5910 (jim_thompson5910):
d) 45, 82, 53
all angles here are less than 90, so this is an acute triangle
OpenStudy (anonymous):
a? @jim_thompson5910
jimthompson5910 (jim_thompson5910):
71 is less than 90
36 is less than 90
73 is less than 90
so all 3 angles are less than 90, so it is an acute triangle
jimthompson5910 (jim_thompson5910):
so choice A is out
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OpenStudy (anonymous):
so its B?
jimthompson5910 (jim_thompson5910):
yes, that second angle of 91 is larger than 90 degrees
jimthompson5910 (jim_thompson5910):
so it's an obtuse triangle
OpenStudy (anonymous):
thank you very much
jimthompson5910 (jim_thompson5910):
you're welcome