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OregonDuck
 one year ago
How many unique triangles can be made where one angle measures 60° and another angle is an obtuse angle?
1
2
More than 2
None
OregonDuck
 one year ago
How many unique triangles can be made where one angle measures 60° and another angle is an obtuse angle? 1 2 More than 2 None

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Jack1
 one year ago
Best ResponseYou've already chosen the best response.2obtuse = more than a right angle but less than 180 degrees so 1 angle = between 90 and 180 and 1 angle = 60 and a triangle's angles add up to 180

Jack1
 one year ago
Best ResponseYou've already chosen the best response.2so 180  60 = 120 so all obtuse angles between 90 and 119 will work for the other 2 angles, yeah? ie 90 and 30 91 and 29 92 and 28 93 and 27... etc? u sensing the pattern man ?

OregonDuck
 one year ago
Best ResponseYou've already chosen the best response.2yup so then it is more than 2 correct?

Jack1
 one year ago
Best ResponseYou've already chosen the best response.2yeps, about 30 possibilities if u only go for whole numbers

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The third angle is fixed at 60 degrees, so the remaining angles must add up to 120, let the obtuse angle be x, then clearly we have \[(x,120x)\space, \space x \in \left\{ 91,92,93,...,119 \right\}\] That's definitely more than 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.090 and 30 will NOT count, as one of the angles is obtuse, that is GREATER than 90 and LESS than 180
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