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Question
The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to ______.
Options
`7/8`
`6/7`
`7/6`
`8/7`
MCQ
Fill in the Blanks
Solution
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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