5-7 One and Two Triangle Inequalities

Question 1

comparison prop. of inequality

Answer 1

if a=b+c and c>0, then a >b

Question 2

triangle exterior angle corollary

Answer 2

the measure of an exterior angle of a triangle is greater than the measure of each of its remote interior angles.

Question 3

triangle opposite inequality theorem

Answer 3

the sum of any two sides of a triangle must be greater than the third side

Question 4

triangle opposite inequality converse

Answer 4

If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.

Question 5

triangle inequality theorem

Answer 5

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.