Mathematics

Problem

\triangle LMN

, the sides are

LM = 3x + 2\,\text{cm}

MN = 13\,\text{cm}

and

LN = 12\,\text{cm}

. In

\triangle PQR

, the sides are

PQ = 11\,\text{cm}

QR = 13\,\text{cm}

and

PR = 12\,\text{cm}

. Given that

\triangle LMN \cong \triangle PQR

in the given order, find the value of

x