Construct triangle PQR with PR=8cm, PQ=6cm, angle P=90 degrees. Construct triangle ABC with AB=6.5cm, BC=5cm, AC=5cm.

Draw a line segment $PR$ of length $8 \text{ cm}$.

At point $P$, construct a perpendicular line (an angle of $90^\circ$) to $PR$.

Along the perpendicular line from $P$, measure and mark a point $Q$ such that $PQ = 6 \text{ cm}$.

Draw a line segment $AB$ of length $6.5 \text{ cm}$.

With $A$ as the center, draw an arc with a radius of $5 \text{ cm}$ (since $AC = 5 \text{ cm}$).

With $B$ as the center, draw another arc with a radius of $5 \text{ cm}$ (since $BC = 5 \text{ cm}$).

The point where the two arcs intersect is point $C$.