Mathematics

Problem

\triangle PQR

and

\triangle XYZ

are such that

PQ = 5\,\text{cm}

QR = 7\,\text{cm}

PR = 9\,\text{cm}

and

XY = 5\,\text{cm}

YZ = 7\,\text{cm}

XZ = x\,\text{cm}

. If the two triangles are congruent, find the value of

x