Angle Side Relationships in a triangle

Make [math]\angle[/math]A the largest angle in the triangle. Which side the largest side?

AC BC AB

Make [math]\angle[/math]B the largest angle in the triangle. Which side the largest side?

AB AC BC

Make [math]\angle[/math]C the largest angle in the triangle

AC AB BC

Make [math]\angle[/math]A the smallest angle in the triangle. Which side is the smallest side?

AB BC AC

Make [math]\angle[/math]B the smallest angle in the triangle. Which side is the smallest side?

BC AB AC

Make [math]\angle[/math]C the smallest angle in the triangle. Which side is the smallest side?

AC AB BC

1. Generalize what you have learned. If you have a triangle with known angle measures, how do you know which side is the largest side? smallest side?

A triangle has the following angle measurements: m[math]\angle[/math]A = 170[math]\circ[/math], m[math]\angle[/math]B=9[math]\circ[/math], & m[math]\angle[/math]C=1[math]\circ[/math]. Order the sides from least to greatest.

BC, AC, AB AC, AB, BC AB, BC, AC AC, BC, AB BC, AB, AC AB, AC, BC

A triangle has sides measuring AB = 3, AC = 11, & BC = 9. Order the angles of the triangle from least to greatest

[math]\angle[/math]A, [math]\angle[/math]B, [math]\angle[/math]C [math]\angle[/math]B, [math]\angle[/math]A, [math]\angle[/math]C [math]\angle[/math]C, [math]\angle[/math]A, [math]\angle[/math]B [math]\angle[/math]A, [math]\angle[/math]C, [math]\angle[/math]B [math]\angle[/math]B, [math]\angle[/math]C, [math]\angle[/math]A [math]\angle[/math]C, [math]\angle[/math]B, [math]\angle[/math]A

Angle Side Relationships in a triangle

Information: Angle Side Relationships in a triangle