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AHSME 1950- part 3

Source:

July 20, 2008
geometry

Problem Statement

In triangle ABCABC, AB=12AB=12, AC=7AC=7, and BC=10BC=10. If sides ABAB and ACAC are doubled while BCBC remains the same, then:
<spanclass=′latex−bold′>(A)</span> The area is doubled<spanclass=′latex−bold′>(B)</span> The altitude is doubled<spanclass=′latex−bold′>(C)</span> The area is four times the original area<spanclass=′latex−bold′>(D)</span> The median is unchanged<spanclass=′latex−bold′>(E)</span> The area of the triangle is 0<span class='latex-bold'>(A)</span>\ \text{The area is doubled} \qquad\\ <span class='latex-bold'>(B)</span>\ \text{The altitude is doubled} \qquad\\ <span class='latex-bold'>(C)</span>\ \text{The area is four times the original area} \qquad\\ <span class='latex-bold'>(D)</span>\ \text{The median is unchanged} \qquad\\ <span class='latex-bold'>(E)</span>\ \text{The area of the triangle is 0}
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