NCERT · Class 9 · Mathematics · Heron's FormulaThe sides of a triangle are in the ratio $12:17:25$ and its perimeter is $540\text{ cm}$. What is its longest side?
Step-by-Step Solution
Let the sides be $12x$, $17x$, and $25x$. Perimeter = $12x + 17x + 25x = 54x = 540$, so $x = 10$. The longest side is $25x = 25 \times 10 = 250\text{ cm}$.
Detailed Options Breakdown
Option : $120\text{ cm}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Heron's Formula.
Option 1: $170\text{ cm}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Heron's Formula.
Option 2: $250\text{ cm}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $300\text{ cm}$
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.