Difference between revisions of "2011 AMC 12A Problems/Problem 17"
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== Problem == | == Problem == | ||
| + | Circles with radii <math>1</math>, <math>2</math>, and <math>3</math> are mutually externally tangent. What is the area of the triangle determine by the points of tangency? | ||
| + | |||
| + | <math> | ||
| + | \textbf{(A)}\ \frac{3}{5} \qquad | ||
| + | \textbf{(B)}\ \frac{4}{5} \qquad | ||
| + | \textbf{(C)}\ 1 \qquad | ||
| + | \textbf{(D)}\ \frac{6}{5} \qquad | ||
| + | \textbf{(E)}\ \frac{4}{3} </math> | ||
| + | |||
== Solution == | == Solution == | ||
== See also == | == See also == | ||
{{AMC12 box|year=2011|num-b=16|num-a=18|ab=A}} | {{AMC12 box|year=2011|num-b=16|num-a=18|ab=A}} | ||
Revision as of 01:35, 10 February 2011
Problem
Circles with radii 
, 
, and 
are mutually externally tangent. What is the area of the triangle determine by the points of tangency?
Solution
See also
| 2011 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 16 |
Followed by Problem 18 |
| 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 | |
| All AMC 12 Problems and Solutions | |
