Question

In triangle ABC, O is the point in the interior of the triangle. State whether the following statements are true or false:
(a) OA + OB > AB
(b) OB + OC = BC
(c) OA + OC < AC​

Answer 1

Answer:

a) true, as AOB is a triangle and when the apply the property that sum of two sides is always greater than the other. We find that OA+OB > AB.

b) false, as we apply the above theorm we get that OB+OC > BC.

c) false, as we apply the above theorm we get that OA + OC > AC.

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