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given: △def, de = 15 cm, df = 18 cm, ef = 12 cm list the interior angle…

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

Explanation:

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

Step3: Determine the angles opposite the sides

Angle opposite \(EF\) is \(\angle D\), angle opposite \(DE\) is \(\angle F\), angle opposite \(DF\) is \(\angle E\).

Answer:

\(\angle D,\angle F,\angle E\)