Nihar and Andrew are trying to find the area of \(\triangle ABC\) using the formula \[\dfrac{1}{2} \times \text{base} \times \text{height} \; . \]

Nihar mistakenly multiplies base \(AB\) by height from \(A\) (instead of \(C\)). He gets a value of 14.

Andrew mistakenly multiplies base \(BC\) by height from \(C\) (instead of \(A\)). He gets a value of 56.

Find the actual area of triangle \(\triangle ABC\).

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