Tell if the measures 25, 14, and 13 can be side lengths of a triangle. If so, classify the triangle as acute, right, or obtuse.
Don't think so, because: 13+14 = 27, which is greater than 25. The sum of the 2 sides must be less than 25.
+129840 Sorry, Guest ...that is not correct....if the sum of any two sides is greater than the remaining side, we have a triangle......this is so, here
Use the Law of Cosines to classify the triangle.....check the angle opposite the longest side
[14^2 + 13^2 - 25^2] / [ 2(13) (14) ] = cos θ
So
arcos [14^2 + 13^2 - 25^2] / [ 2(13) (14) ] =
arcos (-5/7) = θ ≈ 135.6° = obtuse
