The area of the triangle is given as $7 \frac{7}{8} \mathrm{~cm}^{2}$, which can be converted to $\frac{63}{8} \mathrm{~cm}^{2}$. The base of the triangle is given as $5 \frac{1}{4} \mathrm{~cm}$, which can be converted to $\frac{21}{4} \mathrm{~cm}$.
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