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The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to ______. - Mathematics

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प्रश्न

The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to ______.

विकल्प

  • `7/8`

  • `6/7`

  • `7/6`

  • `8/7`

MCQ
रिक्त स्थान भरें

उत्तर

The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to `bbunderline(6/7)`.

Explanation:

The ratio of the corresponding sides of similar triangles is same as the ratio of their perimeter.

∴ ΔABC ~ ΔPQR or ΔPQR ~ ΔABC

⇒ `(PQ)/(AB) = (QR)/(BC) = (PR)/(AC) = 48/56`

⇒ `(PQ)/(AB) = 6/7`

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