Question

Decide whether the statement is always, sometimes, or never true.
An Obtuse triangle is scalene

Answer 1

well if A,B,C are the points z1,z2,z3 ant the angles B and C are each pie- alpha/2
then
(z2-z3)^2 = 4(z3-z1)(z1-z2) sin^2 alpha/2

Answer 2

An obtuse triangle is sometimes scalene. If, however, the other two angles are equal to each other, then it is isosceles. If they are not equal, then it is scalene.

Answer 3

thank you