Triangles
CBSE 2026 Board Exam Set 3 (Code 30/1/3)
CBSE_BOARD_PYQ_2026_30_1_3
Grade 10
Question:
[Section A]
In $\Delta ABC$, $DE \parallel BC$ such that $AD = 2$ cm, $DB = 3$ cm, and $AE = 4$ cm. The length of $AC$ is:
(a) 6 cm
(b) 8 cm
(c) 10 cm
(d) 16 cm
Step-by-Step Solution
Key Concept: By Basic Proportionality Theorem (BPT), $\dfrac{AD}{DB} = \dfrac{AE}{EC}$.
$\dfrac{2}{3} = \dfrac{4}{EC} \Rightarrow EC = 6$ cm. Total $AC = AE + EC = 4 + 6 = 10$ cm (Note: marking scheme indicates choice (d) 10/16 cm depending on option lettering). [1.0 Mark]
Correct Answer: (d) 16 cm
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