Difference between revisions of "1993 UNCO Math Contest II Problems/Problem 10"
(Created page with "== Problem == The scalene triangle <math>ABC</math> has side lengths <math>51, 52, 53.</math> <math>AD</math> is perpendicular to <math>BC.</math> <asy> draw((0,0)--(52,0)--(24,...") |
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== See also == | == See also == | ||
{{UNCO Math Contest box|year=1993|n=II|num-b=9|after=Last Question}} | {{UNCO Math Contest box|year=1993|n=II|num-b=9|after=Last Question}} | ||
| − | + | {Heron's Formula} | |
[[Category:Intermediate Geometry Problems]] | [[Category:Intermediate Geometry Problems]] | ||
Revision as of 21:21, 23 December 2014
Problem
The scalene triangle 
has side lengths 
is perpendicular to 
![[asy] draw((0,0)--(52,0)--(24,sqrt(3)*26)--cycle); draw((24,0)--(24,sqrt(3)*26)); draw((0,-8)--(52,-8),arrow=Arrow()); draw((52,-8)--(0,-8),arrow=Arrow()); draw((24,3)--(21,3)--(21,0),black); MP("B",(0,0),SW);MP("A",(24,sqrt(3)*26),N);MP("C",(52,0),SE);MP("D",(24,0),S); MP("52",(26,-8),S);MP("53",(38,sqrt(3)*13),NE);MP("51",(12,sqrt(3)*13),NW); [/asy]](http://latex.artofproblemsolving.com/1/f/5/1f591d390f2c7453f1a1db5777dcbe9eed30220a.png)
(a) Determine the length of 
(b) Determine the area of triangle 
Solution
See also
| 1993 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
{Heron's Formula}
