Two Wrongs Make A Right?

Geometry Level 2

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 the height from \(A\) \((\)instead of \(C).\) He gets a value of 14.

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

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

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