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∆XYZ is similar to ∆PQR. If the ratio of Perimeter of ∆XYZ and Perimeter of ∆PQR is 16 : 9 and PQ = 3.6 cm, then what is the length (in cm) of XY?
- A4.8
- B3.2
- C6.4
- D8.6
Answer not set
Discussion 1
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CCommunity
Since we know that ratio of perimeters of two triangles is same as that of sides
⇒ Perimeter of ?XYZ/Perimeter of ?PQR = 16/9 = XY/PQ
⇒ XY = 16 × 3.6/9 = 6.4 cm
∴ XY is 6.4 cm
⇒ Perimeter of ?XYZ/Perimeter of ?PQR = 16/9 = XY/PQ
⇒ XY = 16 × 3.6/9 = 6.4 cm
∴ XY is 6.4 cm