Inequalities in One Triangle

[b][size=200]Answer the four questions below.[/size][/b]

Which angle is the largest?

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

Which angle is the smallest?

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

Which side is the longest?

[math]\overline{BC}[/math] [math]\overline{AC}[/math] [math]\overline{AB}[/math]

Which side is the shortest?

[math]\overline{AB}[/math] [math]\overline{AC}[/math] [math]\overline{BC}[/math]

[b][size=150][size=200]Move points A, B, and C around until a different angle is the largest angle.[br]Then answer the questions below.[/size][/size][/b]

Which angle is the largest?

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

Which angle is the smallest?

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

Which side is the longest?

[math]\overline{AC}[/math] [math]\overline{BC}[/math] [math]\overline{AB}[/math]

Which side is the shortest?

[math]\overline{AC}[/math] [math]\overline{AB}[/math] [math]\overline{BC}[/math]

[b][size=150][size=200]Make a conjecture about the relationship between where the biggest side should be if we where the biggest angle is.[/size][/size][/b]

Inequalities in One Triangle

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