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avatar+1671 

In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?

 Jan 12, 2024
 #1
avatar+128448 
+1

A

                N

        1         

 

B            M              C

 

In a right triangle, the length of  a median drawn to  the hypotenuse =  (1/2) the hypotenuse length

 

So   BN  = (1/2) AC

        1 = (1/2) AC

        2 = AC  = the hypotenuse

 

cool cool cool

 Jan 12, 2024

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