Multiple choice

The perimeters of two similar triangles are 30 cm. and 20 cm. respectively. If one side of the first traiangle is 12 cm., then find the corresponding side of the second triangle. दो समरूप त्रिभुजों का परिमाप क्रमशः 30 सेमी. और 20 सेमी. है। यदि पहले त्रिभुज की एक भुजा 12 सेमी.है तो दूसरे त्रिभुज की संगत भुजा ज्ञात कीजिए।

  1. 8 cm./सेमी.

  2. 6 cm./सेमी.

  3. 10 cm./सेमी.

  4. 9 cm./सेमी.
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A Correct answer
Explanation

For similar triangles, ratio of perimeters = ratio of corresponding sides. Perimeter ratio = 30:20 = 3:2. So corresponding side ratio is 3:2. If first triangle's side is 12 cm, second's corresponding side = 12×2/3 = 8 cm. This uses the fundamental property that similar triangles have proportional corresponding dimensions.

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