OregonDuck
  • OregonDuck
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
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
OregonDuck
  • OregonDuck
@Jack1
Jack1
  • Jack1
obtuse = 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
OregonDuck
  • OregonDuck
so it is a?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Jack1
  • Jack1
so 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
  • OregonDuck
yup so then it is more than 2 correct?
Jack1
  • Jack1
yeps, about 30 possibilities if u only go for whole numbers
OregonDuck
  • OregonDuck
alrighty thxs
Jack1
  • Jack1
np man ;)
anonymous
  • anonymous
The 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 \[(x,120-x)\space, \space x \in \left\{ 91,92,93,...,119 \right\}\] That's definitely more than 2
anonymous
  • anonymous
90 and 30 will NOT count, as one of the angles is obtuse, that is GREATER than 90 and LESS than 180

Looking for something else?

Not the answer you are looking for? Search for more explanations.