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 Mar 4, 2021
 #1
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Let the orthocenter be denoted by O

 

EC = 11.59110992

 

EO = 1.793150945

 

CO = 9.797958975

 

I don't know how to write the length of EC in that particular form.

 

This is all I could've done.smiley

 Mar 4, 2021
 #2
avatar+112972 
+1

Steps

 

1)  Draw a bigger pic and put all the given info on it.

 

2)  Every angle there is easy to find,  find them all.

 

3)  consider triangle EBC

       Sin EBC = EC/12

       angle EBS = angle EBD+angle DBC

       so

       \(sin(\angle EBD+\angle DBC)=\frac{EC}{12}\)

       You will need to use the sin (A+B) formula to solve this.

 

Now try filling in all the blanks for yourself.

 Mar 4, 2021

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