Which is the most accurate description of the triangle shown if you are given that the side lengths are 4 meters, 3 meters, and 6 meters with a 117.3 degree angle?

Question

parthkohli · Answer

Looks like one of the angles is more than 90 degrees, and thus it is an obtuse triangle.

anonymous · Answer

Yes but an obtuse scalene or obtuse isosceles?

parthkohli · Answer

The side-check for obtuse triangles:

$ \color{Black}{\Rightarrow 6^2 > 4^2 + 3^2?}$
$ \color{Black}{\Rightarrow 36 > 16 + 9?}$
$ \color{Black}{\Rightarrow 36 > 25}$

Yes.

parthkohli · Answer

Well.
Scalene - all sides are unequal.
Isosceles - two sides are equal.

anonymous · Answer

So its a scalene. Thanks!

parthkohli · Answer

Yep! You're welcome!