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Question
given: △def, de = 15 cm, df = 18 cm, ef = 12 cm
list the interior angles of △def in order from least to greatest.
least greatest
dragables
<d
<e
<f
Step1: Recall the side - angle relationship
In a triangle, the larger the side length, the larger the angle opposite it.
Step2: Order the side lengths
Given \(DE = 15\) cm, \(DF=18\) cm, \(EF = 12\) cm. Order of side lengths: \(EF Angle opposite \(EF\) is \(\angle D\), angle opposite \(DE\) is \(\angle F\), angle opposite \(DF\) is \(\angle E\).Step3: Determine the angles opposite the sides
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\(\angle D,\angle F,\angle E\)