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Question

The perimeters of two similar triangles ABC and PQR are 32cm and 24cm respectively. If PQ=12cm, find AB.

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Solution

Form given statement: ΔABCΔPQR,
PQ=12cm
Perimeter of ΔABC=AB+BC+CA=32cm
Perimeter of ΔPQR=PQ+QR+RP=24cm
Now,
ABPQ=BCQR=CARP

=AB+BC+CAPQ+QR+RP=3224

AB12=3224

AB=32×1224=16cm

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