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In right \(\Delta ABC,\) \(\angle CAB\) is a right angle. Point M is the midpoint of BC. What is the number of centimeters in the length of median AM? Express your answer as a decimal to the nearest tenth.

 

 Nov 4, 2018
 #1
avatar+98172 
+1

The median  of a right triangle drawn to the hypotenuse from the right angle has the same measure as 1/2 of the hypotenuse

 

We have a 3 - 4 - 5 right triangle wth BC  as the hypotenuse = 5

 

So   MB  = AM  =  (1/2) * 5   =   2.5

 

The diagonals of a rectangle are congruent and  bisect each other....

 

 

 

cool cool cool

 Nov 4, 2018
edited by CPhill  Nov 4, 2018
 #2
avatar+17332 
+1

Slight correction     2.5     not 2/5 as cphil found  (or maybe he meant  5/2 instead of 2/5)

 Nov 4, 2018
edited by Guest  Nov 4, 2018
 #3
avatar+973 
+1

Yep, 2.5 is right.

Lightning  Nov 4, 2018
 #4
avatar+98172 
0

Sorry...just a typo....supposed to be 2.5.....thanks for catching that, EP

 

 

cool cool cool

CPhill  Nov 4, 2018

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