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Two Wrongs Make A Right?

Nihar and Andrew are trying to find the area of ABC\triangle ABC using the formula

12×base×height.\dfrac{1}{2} \times \text{base} \times \text{height}.

Nihar mistakenly multiplies base ABAB by the height from AA ((instead of C).C). He gets a value of 14.

Andrew mistakenly multiplies base BCBC by the height from CC ((instead of A).A). He gets a value of 56.

Find the actual area of triangle ABC\triangle ABC.


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