MCQMathematics

NCERT · Class 7 · Mathematics · The Triangle and its PropertiesWhich of the following can be the lengths of the sides of a triangle?

Step-by-Step Solution

According to the triangle inequality property, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Checking 2 cm, 3 cm, 5 cm: 2 + 3 = 5 (not greater than 5). Checking 3 cm, 4 cm, 5 cm: 3 + 4 = 7 > 5, 4 + 5 = 9 > 3, 3 + 5 = 8 > 4. Thus, 3 cm, 4 cm, 5 cm form a valid triangle.

Detailed Options Breakdown
Option : 2 cm, 3 cm, 5 cm

Incorrect choice. This distractor represents a common misunderstanding of the core principles of The Triangle and its Properties.

Option 1: 3 cm, 4 cm, 5 cm (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 2: 1 cm, 2 cm, 4 cm

Incorrect choice. This distractor represents a common misunderstanding of the core principles of The Triangle and its Properties.

Option 3: 3 cm, 2 cm, 6 cm

Incorrect choice. This distractor represents a common misunderstanding of the core principles of The Triangle and its Properties.

💡 Study Guide: This question tests core syllabus concepts from The Triangle and its Properties. For formulas, key summaries, and mock exam reference guides, read the full The Triangle and its Properties Revision Notes.
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