Can a triangle be obtuse and scalene?

Answer 1

Yes! A scalene triangle is one where none of the 3 sides are equal. An obtuse triangle is one where one of the angles is greater than 90 degrees. So, for example, a triangle whose angles were 100, 45 & 35 (the 3 must equal 180) will be obtuse and scalene.

Answer 2

Yes, as long as each of the three sides is unequal, and the longest side is such that its square is more than the sum of the squares of the two shorter sides.

The simplest example is the 2-3-4 triangle:

2^2 + 3^2 = 4+9 = 13;

4^2 = 16 > 13.

So it is both obtuse and scalene.