Question

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

Explanation:

Step1: Find ∠SUT

∠SUT = 180° - 145° = 35°

Step2: Find ∠TSU

∠TSU = 180° - 71° - 35° = 74°

Step3: Match sides to angles

In a triangle, the shortest side is opposite the smallest angle, and the longest side is opposite the largest angle:

• Smallest angle (35°) → opposite side $TS$
• Middle angle (71°) → opposite side $SU$
• Largest angle (74°) → opposite side $TU$

Answer:

$TS < TU < SU$