CBSE · Class 9 · Mathematics · Heron's FormulaWhat is the area of a triangle with sides $3\text{ cm}$, $4\text{ cm}$, and $5\text{ cm}$?
Step-by-Step Solution
The sides form a right-angled triangle since $3^2 + 4^2 = 5^2$. Area = $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 3 \times 4 = 6\text{ cm}^2$.
Detailed Options Breakdown
Option : $6\text{ cm}^2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $12\text{ cm}^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Heron's Formula.
Option 2: $10\text{ cm}^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Heron's Formula.
Option 3: $7.5\text{ cm}^2$
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.