1986 AHSME Problems/Problem 26

Revision as of 02:43, 24 October 2014 by Timneh (talk | contribs) (Created page with "==Problem== It is desired to construct a right triangle in the coordinate plane so that its legs are parallel to the <math>x</math> and <math>y</math> axes and so that the medi...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

It is desired to construct a right triangle in the coordinate plane so that its legs are parallel to the $x$ and $y$ axes and so that the medians to the midpoints of the legs lie on the lines $y = 3x + 1$ and $y = mx + 2$. The number of different constants $m$ for which such a triangle exists is

$\textbf{(A)}\ 0\qquad \textbf{(B)}\ 1\qquad \textbf{(C)}\ 2\qquad \textbf{(D)}\ 3\qquad \textbf{(E)}\ \text{more than 3}$


Solution

See also

1986 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 25
Followed by
Problem 27
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png