In a triangle OAB and OCD, the sides OA and OD are equal, the angle A is equal to the angle D

In a triangle OAB and OCD, the sides OA and OD are equal, the angle A is equal to the angle D, find the side OC if OB = 8cm AB = DC

In triangles OAB and OCD, the sides OA and OD are equal, also, by the condition, the sides AB and DC are equal to each other, the angle A is equal to the angle D.

That is, the triangles OAB and OCD are equal, since they have equal two corresponding sides and the angle between them. This means that the third sides of the triangles are also equal to each other.

Thus, the desired side OC is equal to OB and both of these sides are equal to 8 cm.

Answer: OC = 8 cm.



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