Difference between revisions of "1980 AHSME Problems/Problem 19"

(Created page with "== Problem == Let <math>C_1, C_2</math> and <math>C_3</math> be three parallel chords of a circle on the same side of the center. The distance between <math>C_1</math> and <mat...")
 
(Solution)
Line 13: Line 13:
  
 
== Solution ==
 
== Solution ==
<math>\fbox{}</math>
+
<math>\fbox{D}</math>
  
 
== See also ==
 
== See also ==

Revision as of 21:54, 27 January 2019

Problem

Let $C_1, C_2$ and $C_3$ be three parallel chords of a circle on the same side of the center. The distance between $C_1$ and $C_2$ is the same as the distance between $C_2$ and $C_3$. The lengths of the chords are $20, 16$, and $8$. The radius of the circle is

$\text{(A)} \ 12 \qquad  \text{(B)} \ 4\sqrt{7} \qquad  \text{(C)} \ \frac{5\sqrt{65}}{3} \qquad  \text{(D)}\ \frac{5\sqrt{22}}{2}\qquad \text{(E)}\ \text{not uniquely determined}$


Solution

$\fbox{D}$

See also

1980 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 18
Followed by
Problem 20
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