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