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In triangle ABC, M is the midpoint of line segement AB Let D be the point on line segment BC such that line segment AD bisects angle BAC, and let the perpendicular bisector of line segment AB intersect line segment AD at E. If AB = 44, AC = 30, and ME = 10, then find the area of triangle ACE. I know that AE is root 584 by using the Pythagorean theorem, but I don't know where to go from here. 

 

 

NOTE: Please don't give me the answer, explain how to do it-thank you :)

 May 6, 2022

Best Answer 

 #2
avatar+118609 
+1

Here is the pic, drawn to scale.

Drawing a good enough pic was the most important part.

 

From the pic find

sin(alpha)

then

cos(alpha)

then

sin(2*alpha)

then

area of the triangle.

 

 May 6, 2022

1+0 Answers

 #2
avatar+118609 
+1
Best Answer

Here is the pic, drawn to scale.

Drawing a good enough pic was the most important part.

 

From the pic find

sin(alpha)

then

cos(alpha)

then

sin(2*alpha)

then

area of the triangle.

 

Melody May 6, 2022

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