MP Board · Class 10 · Mathematics · TrianglesIn triangle ABC, DE || BC such that AD = 2 cm, DB = 3 cm, and AE = 4 cm. Find EC.
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Total Attempts: 5
Accuracy Rate: 20%
Step-by-Step Solution
According to the Basic Proportionality Theorem, AD/DB = AE/EC. Substituting the given values: 2/3 = 4/EC. Cross-multiplying gives 2 * EC = 12, which implies EC = 6 cm.
Detailed Options Breakdown
Option : 5 cm
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 1: 6 cm (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 4 cm
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 3: 3 cm
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
💡 Study Guide: This question tests core syllabus concepts from Triangles. For formulas, key summaries, and mock exam reference guides, read the full Triangles Revision Notes.