Difference between revisions of "1993 UNCO Math Contest II Problems/Problem 9"
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== Solution == | == Solution == | ||
− | By the British Flag Theorem, we have AP^2+CP^2=BP^2+DP^2. Substituting in, we have 25+121=100+DP^2. We find DP to be <math>\sqrt{46}</math>. | + | By the British Flag Theorem, we have <math>AP^2</math>+<math>CP^2</math>=BP^2+DP^2. Substituting in, we have 25+121=100+DP^2. We find DP to be <math>\sqrt{46}</math>. |
== See also == | == See also == |
Revision as of 12:31, 12 August 2015
Problem
Let be a point inside the rectangle
. If
,
and
, find the length of
.
(Hint: draw helpful vertical and horizontal lines.)
Solution
By the British Flag Theorem, we have +
=BP^2+DP^2. Substituting in, we have 25+121=100+DP^2. We find DP to be
.
See also
1993 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |