1954 AHSME Problems/Problem 29

Revision as of 00:36, 28 February 2020 by Rayfish (talk | contribs) (Created page with "== Problem == If the ratio of the legs of a right triangle is <math>1: 2</math>, then the ratio of the corresponding segments of the hypotenuse made by a perpendicular upon...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

If the ratio of the legs of a right triangle is $1: 2$, then the ratio of the corresponding segments of the hypotenuse made by a perpendicular upon it from the vertex is:

$\textbf{(A)}\ 1: 4\qquad\textbf{(B)}\ 1:\sqrt{2}\qquad\textbf{(C)}\ 1: 2\qquad\textbf{(D)}\ 1:\sqrt{5}\qquad\textbf{(E)}\ 1: 5$

Solution

See Also

1954 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 28
Followed by
Problem 30
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 41 42 43 44 45 46 47 48 49 50
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