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In right triangle ABC, we have AB = 10, BC = 24, and angle ABC = 90. If M is on AC such that BM is an angle Bisector if triangle ABC, what is cos ABM?

 Nov 18, 2018
 #1
avatar+96035 
+1

A

 

10             M                                      cos ABM

 

 

B        24             C

 

 

Since BM is an angle bisector of  right angle ABC....then angle ABM  = (1/2)(90°) = 45°

 

So....the cos ABM  = cos (45°)   =  1 / √2

 

 

cool  cool cool

 Nov 18, 2018

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