A) greater than the sum of its altitudes
B) less than the sum of its altitudes
C) equal to the sum of its altitudes
D) none of these
Correct Answer: A
Solution :
In \[\Delta ADC\] \[\angle D\,\,>\,\,\angle C\] \[\therefore \] \[AC>AD\] Similarly \[AB>AD\] \[\therefore \] \[(AB+AC0>\,2AD\] \[(AB+BC)>\,2BE\] and \[(AC+BC)>2CF\] \[\therefore \] \[2(AB+BC+CA)>\,2(AD+BE+CF)\] \[\therefore \] \[(AB+BC+CA)\,>\,(AD+BE+CF)\]You need to login to perform this action.
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