MP Board · Class 9 · Mathematics · TrianglesIn $\Delta PQR$, if $\angle R = \angle P$, $QR = 4\text{ cm}$, and $PR = 5\text{ cm}$, then the length of side $PQ$ is:
Step-by-Step Solution
In $\Delta PQR$, we are given that $\angle R = \angle P$. \nAccording to the isosceles triangle property, sides opposite to equal angles of a triangle are equal. \nTherefore, $$PQ = QR$$ \nGiven $QR = 4\text{ cm}$, we have: $$PQ = 4\text{ cm}$$ \nHence, the correct option is A.
Detailed Options Breakdown
Option : $4\text{ cm}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $5\text{ cm}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 2: $2.5\text{ cm}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 3: $9\text{ cm}$
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.