SOLUTION: In ∆ ABC , a = 7 , b= 11 , c = 8 .Calculate the projection of AC on AB.
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Question 1066785: In ∆ ABC , a = 7 , b= 11 , c = 8 .Calculate the projection of AC on AB.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
,
so ABC is an obtuse triangle,
with the obtuse angle opposite the longest side, ,
at vertex .
Triangle , with its height , looks like this:
The projection of segment on line is segment .
Let's call the length of that projection , and figure out how ti find .
Apply the Pythagorean theorem to right triangles and .
For :
<---><---><---><---> .
For :
<---> .
Subtracting from , we get
--->--->---> .
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