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A = \sqrt{s(s - 13)(s - 14)(s - 15)} = \sqrt{21 \times 8 \times 7 \times 6}
A = \sqrt{21 \times 336} = \sqrt{7056} = 84 \, \text{cm}^2
The altitude \( h \) corresponding to a side \( a \) is given by:
h = \frac{2A}{a}
Calculate the altitudes for each side:
For side 13 cm:
h_{13} = \frac{2 \times 84}{13} \approx 12.923 \, \text{cm}
For side 14 cm:
h_{14} = \frac{2 \times 84}{14} = 12 \, \text{cm}
For side 15 cm: