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Problem :
Is it possible for the lengths of the sides of a triangle to be 1, 2, and 3?
Why or why not?
No. 1 + 2 = 3. The triangle inequality states that the sum of the lengths any
two sides of a triangle must exceed the length of the third side.
Problem :
Which side of the triangle below is the longest?
Side AC is the longest.
Problem :
In triangle ABC, if side AB = 3, side BC = 4, and side CA = 5, which angle, A,
B, or C,
is the smallest?
Angle C
Problem :
Is it possible for an exterior angle of a triangle to be smaller that one of the
interior angles
of the triangle?
Yes, the exterior angle must be acute, and the interior angle that is greater
than the
exterior angle must be adjacent (and therefore supplementary) to it. Only when
the
interior angle is obtuse is the exterior angle of a triangle smaller than that
interior angle.
Problem :
If an exterior angle of a triangle is 95 degrees, and one of the remote
interior angles is 50
degrees, what is the measure of the other remote interior angle?