CBSE · Class 9 · Mathematics · Heron's FormulaWhat is the semi-perimeter ($s$) of a triangle with sides $10\text{ cm}$, $24\text{ cm}$, and $26\text{ cm}$?
Step-by-Step Solution
The semi-perimeter $s$ is calculated as $\frac{a+b+c}{2} = \frac{10+24+26}{2} = \frac{60}{2} = 30\text{ cm}$.
Detailed Options Breakdown
Option : $60\text{ cm}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Heron's Formula.
Option 1: $30\text{ cm}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $15\text{ cm}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Heron's Formula.
Option 3: $45\text{ cm}$
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.