On solving the provided question, we can say that If any of these inequalities is not true, then the three sides do not form a validtriangle.What is triangle?Since a triangle has three sides and three vertices, it is a polygon. It is afundamental geometricform. Triangle ABC is the moniker given to a triangle that hasverticesA, B, and C. When the three points are not collinear, a singular plane and triangle are found inEuclideangeometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.According to the triangle inequality theorem, the lengths of any two of a triangle's sides added together must be greater than the length of the third side. In other words, if the sides of a triangle have lengths a, b, and c, then:a + b > ca + c > bb + c > aIf any of these inequalities is not true, then the three sides do not form a valid triangle.The triangle inequality theorem is an important concept in geometry and is used to determine whether a given set of side lengths can form a triangle. It is also used in various applications, such as designing bridges and buildings, and in mathematical proofs.To know more abouttrianglevisit:brainly.com/question/2773823#SPJ1...

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