1967 AHSME Problems/Problem 13

Revision as of 01:39, 16 August 2023 by Proloto (talk | contribs) (See also)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

A triangle $ABC$ is to be constructed given a side $a$ (opposite angle $A$). angle $B$, and $h_c$, the altitude from $C$. If $N$ is the number of non-congruent solutions, then $N$

$\textbf{(A)}\ \text{is} \; 1\qquad \textbf{(B)}\ \text{is} \; 2\qquad \textbf{(C)}\ \text{must be zero}\qquad \textbf{(D)}\ \text{must be infinite}\qquad \textbf{(E)}\ \text{must be zero or infinite}$

Answer

$\fbox{E}$

See also

1967 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 12
Followed by
Problem 14
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 31 32 33 34 35 36 37 38 39 40
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