in triangle ABC median AM = 17 altitude AD= 15 and the circum-radius R= 10 find BCsquare

Asked by Manisha Vadagave | 24th Mar, 2014, 05:07: PM

Expert Answer:

Consider,
 
 
In triangle ADM, we get
 
A M squared equals A D squared space plus space M D squared  M D squared equals A M squared minus A D squared  space space space space space space space space equals 17 squared minus 15 squared equals 8 squared  rightwards double arrow M D equals 8
 
 
Now,
 
In triangle BOM, we get
 
B M squared equals O B squared minus O M squared equals 10 squared minus 8 squared equals 36  rightwards double arrow B M equals 6  rightwards double arrow B C equals 2 B M equals 12 space c m
 
 
rightwards double arrow space B C squared equals 144

Answered by  | 23rd Apr, 2014, 12:42: PM

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