MP Board · Class 9 · Mathematics · TrianglesIn $\triangle PQR$, if $\angle P = \angle R = 45^\circ$, which of the following statements is true?
Step-by-Step Solution
In a triangle, sides opposite to equal angles are equal.
- Side opposite to $\angle P$ is $QR$.
- Side opposite to $\angle R$ is $PQ$. \nSince $\angle P = \angle R$, we have $PQ = QR$.
Detailed Options Breakdown
Option : $PQ = QR$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $PQ = PR$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 2: $QR = PR$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 3: $PQ + QR = PR$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
💡 Study Guide: This question tests core syllabus concepts from Triangles. For formulas, key summaries, and mock exam reference guides, read the full Triangles Revision Notes.