NCERT · Class 9 · Mathematics · Heron's FormulaThe sides of a triangular field are $50\text{ m}$, $65\text{ m}$, and $65\text{ m}$. What is the semi-perimeter of the field?
Step-by-Step Solution
Semi-perimeter $s = \frac{50 + 65 + 65}{2} = \frac{180}{2} = 90\text{ m}$.
Detailed Options Breakdown
Option : $180\text{ m}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Heron's Formula.
Option 1: $90\text{ m}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $45\text{ m}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Heron's Formula.
Option 3: $130\text{ m}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Heron's Formula.
💡 Study Guide: This question tests core syllabus concepts from Heron's Formula. For formulas, key summaries, and mock exam reference guides, read the full Heron's Formula Revision Notes.