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The value of x for the triangle by the mid point theorem is obtained as 5.What is defined as the mid-point theorem?The line segment of a triangle connecting the midpoint in two the triangle's sides is thought to be parallel to that third side and also half the length of the third side, according to the midpoint theorem. A location that is at, close, or equally far both from ends of a line segment is referred to as the midpoint. To put it another way, the midpoint is indeed the place in a fact where the beginning and the conclusion meet.For the given diagram in the question.As, the sides of the triangle is divided in equal parts.By the mid -point theorem-(1/2)24 = x + 712 = x + 7x = 12 - 7x = 5Thus, the value of x for the triangle by the mid point theorem is obtained as 5.To know more about the mid-point theorem, herehttps://brainly.com/question/9635025#SPJ13