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 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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