Question

list the side lengths of $\triangle stu$ in order from shortest to longest.

Explanation:

Step1: Find ∠TUS

∠TUS = 180° - 145° = 35°

Step2: Find ∠TSU

∠TSU = 180° - 71° - 35° = 74°

Step3: Match sides to opposite angles

Side opposite ∠TUS (35°): $TS$
Side opposite ∠UT S (71°): $US$
Side opposite ∠TSU (74°): $TU$

Step4: Order sides by angle size

Smallest angle → shortest side; largest angle → longest side.

Answer:

$TS < US < TU$