Mathematics

Mathematics

Problem

Triangle ABCABC has side lengths AB=5 cmAB = 5\,\text{cm}, BC=6 cmBC = 6\,\text{cm} and CA=7 cmCA = 7\,\text{cm}. It is given that △ABC≅△DEF\triangle ABC \cong \triangle DEF and △DEF≅△PQR\triangle DEF \cong \triangle PQR, with the order of letters showing the correspondence in each congruence statement. Find the length of side QRQR.

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