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 \(\triangle ABC\).
by
Arulx Z