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Triangles
CBSE 2026 Board Exam Set 1 (Code 30/1/1)
CBSE_BOARD_PYQ_2026_30_1_1
Grade 10
Question:
[Section B]
In $\triangle ABC$ and $\triangle XYZ$, $\triangle ABC \sim \triangle XYZ$. If $AB = 3$ cm, $XY = 6$ cm and perimeter of $\triangle ABC = 16$ cm, find the perimeter of $\triangle XYZ$.
In $\triangle ABC$ and $\triangle XYZ$, $\triangle ABC \sim \triangle XYZ$. If $AB = 3$ cm, $XY = 6$ cm and perimeter of $\triangle ABC = 16$ cm, find the perimeter of $\triangle XYZ$.
Step-by-Step Solution
Key Concept: Ratio of perimeters of similar triangles equals the ratio of their corresponding sides.
$\dfrac{\text{Perimeter}(\triangle ABC)}{\text{Perimeter}(\triangle XYZ)} = \dfrac{AB}{XY} = \dfrac{3}{6} = \dfrac{1}{2}$. [1.0 Mark]
$\text{Perimeter}(\triangle XYZ) = 2 \times 16 = 32$ cm. [1.0 Mark]
$\text{Perimeter}(\triangle XYZ) = 2 \times 16 = 32$ cm. [1.0 Mark]
Correct Answer: Perimeter $= 32$ cm
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