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question in \\( \\triangle p q r, q r = 15, r p = 12, \\) and \\( p q =…

Question

question in \\( \triangle p q r, q r = 15, r p = 12, \\) and \\( p q = 10 \\). which statement about the angles of \\( \triangle p q r \\) must be true? answer \\( m \angle p > m \angle r > m \angle q \\) \\( m \angle q > m \angle p > m \angle r \\) \\( m \angle r > m \angle p > m \angle q \\) \\( m \angle p > m \angle q > m \angle r \\) \\( m \angle q > m \angle r > m \angle p \\) \\( m \angle r > m \angle q > m \angle p \\)

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger side is opposite the larger angle.

Step2: Compare the side lengths

Given \(PQ = 10\), \(RP=12\), and \(QR = 15\). So \(PQ

Step3: Determine the angle - side relationship

Since \(PQ

Answer:

\(m\angle P>m\angle Q>m\angle R\)