Difference between revisions of "2018 UNCO Math Contest II Problems/Problem 2"

(Problem)
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== Solution ==
 
== Solution ==
  
 +
<math>150</math>
  
 
== See also ==
 
== See also ==
 
{{UNCO Math Contest box|year=2018|n=II|num-b=1|num-a=3}}
 
{{UNCO Math Contest box|year=2018|n=II|num-b=1|num-a=3}}
  
[[Category:]]
+
[[Category:Introductory Geometry Problems]]

Revision as of 00:37, 14 January 2019

Problem

[asy] pair D=(0,0),B=(0,12),C=(16,0),A=(-9,0); draw(A--B--C--A,dot); draw(D--B,dot); MP("D",D,S);MP("A",A,S);MP("C",C,S);MP("B",B,N); MP("16",(8,0),S);MP("15",(A+B)/2,NW); [/asy]

Segment AB is perpendicular to segment BC and segment AC is perpendicular to segment BD. If segment AB has length 15 and segment DC has length 16, then what is the area of triangle ABC?

Solution

$150$

See also

2018 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions