Difference between revisions of "Ceva's theorem/Problems"
Etmetalakret (talk | contribs) (Created page with "==Introductory== ===I1=== ====Problem==== Suppose <math>AB, AC</math>, and <math>BC</math> have lengths <math>13, 14</math>, and <math>15</math>, respectively. If <math>\frac...") |
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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>. | ||
| − | ''[[Ceva' | + | ''[[Ceva's_theorem | Back to main article]]'' |
Latest revision as of 15:16, 9 May 2021
Contents
Introductory
I1
Problem
Suppose 
, and 
have lengths 
, and 
, respectively. If 
and 
, find 
and 
.
Solution
If 
and 
, then 
, and 
. From this, we find 
and 
.
