Question

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?

Answer 1

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

Answer 2

Yes but an obtuse scalene or obtuse isosceles?

Answer 3

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.

Answer 4

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

Answer 5

So its a scalene. Thanks!

Answer 6

Yep! You're welcome!