AHSME 1950 Problem 46

In triangle $ABC$, $AB=12$, $AC=7$, and $BC=10$. If sides $AB$ and $AC$ are doubled while $BC$ remains the same, then: $\textbf{(A)}\ \text{The area is doubled} \\ \textbf{(B)}\ \text{The altitude is doubled} \\ \textbf{(C)}\ \text{The area is four times the original area} \\ \textbf{(D)}\ \text{The median is unchanged} \\ \textbf{(E)}\ \text{The area of the triangle is 0}$