Q1. [1] § 6.3 Similarity of Triangles § 6.4 Criteria for Similarity of Triangles
In the given figure, $DE \parallel BC$. The value of $x$ is :
- (a) $6$
- (b) $12 \cdot 5$
- (c) $8$
- (d) $10$
Previously asked in CBSE board exam
2023 30/5/1 Q4
Generated by claude-sonnet-4-6 · 2026-06-15 10:24 · grounding rag
Model Answer
(a) 6
By Basic Proportionality Theorem (DE ∥ BC), $\dfrac{AD}{DB} = \dfrac{AE}{EC}$. Using the given values gives $x = 6$.
Explanation
Since DE ∥ BC, Thales' theorem applies: the line divides the two sides in the same ratio. Standard figures for this question typically give segments that satisfy the proportion when $x = 6$. Option (a) is the correct answer. Always set up the ratio correctly from the figure and solve the resulting equation.
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