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given ac = ln and ba = ml, which statement must be true? ○ bc < mn ○ bc…

Question

given ac = ln and ba = ml, which statement must be true?
○ bc < mn
○ bc > mn
○ bc = mn
○ ba = ln

Explanation:

Step1: Identify given equal sides

$AC=LN$, $BA=ML$ (marked with ticks)

Step2: Compare included angles

$\angle A=58^\circ$, $\angle L=78^\circ$ → $\angle A < \angle L$

Step3: Apply Hinge Theorem

Side opposite smaller angle is shorter: $BC < MN$

Answer:

BC < MN