Question

list the angle measures of \\(\triangle abc\\) in order from smallest to largest, given that \\(bc = 22\\) feet, \\(ac = 25\\) feet, and \\(ab = 38\\) feet.
\\(m\angle\square < m\angle\square < m\angle\square\\)

Explanation:

Step1: Match sides to opposite angles

In $\triangle ABC$:

• Side $BC=22$ is opposite $\angle A$
• Side $AC=25$ is opposite $\angle B$
• Side $AB=38$ is opposite $\angle C$

Step2: Order sides from smallest to largest

$22 < 25 < 38$, so $BC < AC < AB$

Step3: Relate to opposite angles

In a triangle, the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side. So the angles follow the same order as their opposite sides.

Answer:

$m\angle A < m\angle B < m\angle C$