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Question

Arrange the sides in decreasing order, if ABC and PQR are similar triangles with AB = 20, PQ = 4 and BC =10. Highest value at the top

A
PQ
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B
AC
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C
QR
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D
PR
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Solution

Since the given triangles are similar, the ratio of corresponding sides can be written as :

ABPQ=BCQR=ACPR

204=10QR

5=10QR

QR=105

QR=2

And, 204=PRQR

5=PRQR

5=PR2

PR=10

Also, 5=ACPR

5=AC10

AC=50

50 > 10 > 4 > 2
AC > PR > PQ > QR

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