In two triangles ABC and DEF, BC = EF, AB = DE , If AG and DH are the medians of triangles ABC  and DEF respectively. Find = ?

Asked by Topperlearning User | 4th Dec, 2013, 08:24: AM

Expert Answer:

In triangles ABC  and DEF,

AB=DE

BC=EF

So (SAS  rule)

Now consider  triangles ABG and DEH,

(as AG and DH are medians)

So BG = EH

       AB=DE

     

Thus we have  (SAS rule)

So (  corresponding sides of similar triangles are proportional)

 

=

Hence, =Ratio   of the corresponding sides.

=

Answered by  | 4th Dec, 2013, 10:24: AM

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