emathematics.net
Español
User: desconectar
 
Maths Exercices

Triangle Side and Angle Inequalities

Side Inequality Theorem: If one side of a triangle is longer than the other side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side.

If AC>BC>AB, then m m m

List the angles in order of smallest to largest:

Solution:

m


Angle Inequality Theorem: If one angle of a triagle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.



List the sides in order of longest to shortest:

Solution:

Look at the following picture:

We know that 67 + 53 + x = 180, that is, x = 60º.
Consequently NO, MN, MO