## in triangle abc which of the following is true 1 AC +BC greater and AC 2 AB+BC greater than AC 3 AB+AC greater than BC 4 AC+BC greater than

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## Answers ( )

Taking ∆OBC

1) OB+OC>BC ………Sum of the two sides of a triangle is greater than the third side

In ∆OAC

2) OA+ OC> AC ……reason same as above.

In ∆OAB

3 ) OA +OB >AB ……..reason same as above

Adding 1) 2) & 3)

OB+OC +OA +OC+OA+OB > BC +AC+ AB

2OA+2OB + 2OC >AB+ BC+ AC

Dividing both sides by 2

(OA + OB +OC)>1÷2(AB +BC+AC ) proved.