Difference between revisions of "2018 UNCO Math Contest II Problems/Problem 2"
(→See also) |
(→Problem) |
||
| Line 1: | Line 1: | ||
== Problem == | == 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 == | == Solution == | ||
Revision as of 00:29, 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]](http://latex.artofproblemsolving.com/5/b/b/5bbbb8b57d4976736a0221d2e0b1d2831b3e7aa8.png)
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
See also
| 2018 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| 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 | ||
[[Category:]]
