Difference between revisions of "Ceva's Theorem/Problems"
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If <math>BD = x</math> and <math>DC = y</math>, then <math>10x = 40y</math>, and <math>{x + y = 15}</math>. From this, we find <math>x = 12</math> and <math>y = 3</math>. | If <math>BD = x</math> and <math>DC = y</math>, then <math>10x = 40y</math>, and <math>{x + y = 15}</math>. From this, we find <math>x = 12</math> and <math>y = 3</math>. | ||
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Revision as of 14:55, 21 July 2009
Contents
Introductory
I1
Problem
Suppose , and
have lengths
, and
, respectively. If
and
, find
and
.
Solution
If and
, then
, and
. From this, we find
and
.