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Question

O is the point in the exterior of ABC.Use the symbols<,>or=to make the following statements true.

OA+OCAC


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Solution

Construction of figure;

O is the point in the exterior of ABC.

Join OA,OBandOC.

Here, we can see AOB is a triangle.

We know that Triangle inequality theorem states that , Sum of the length of any two sides of a triangle is greater than the third side.

OA+OC>AC


Hence, the given statement is OA+OC>AC


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