Question

question
in △def, ef = 12, fd = 2, and de = 13. which list has the angles of △def in order from smallest to largest?
answer
○ m∠d, m∠e, m∠f
○ m∠d, m∠f, m∠e
○ m∠e, m∠d, m∠f
○ m∠f, m∠e, m∠d

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger the side length, the larger the angle opposite it.

Step2: Compare the side lengths

Given \(EF = 12\), \(FD=2\), and \(DE = 13\). So, \(FD

Step3: Determine the angles opposite the sides

Let \(\angle E\) be opposite \(FD\), \(\angle D\) be opposite \(EF\), and \(\angle F\) be opposite \(DE\).
Since \(FD

Answer:

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