The range of possible values should be (7,34), i.e 7 < x < 34.
The answer must be more noteworthy than 7, else the two sides are less than or rise to to the third. That triangle is outlandish. The reply must moreover be less than 34, since at that point the two other sides would rise to the third, making an impossible triangle.
By the property of triangle, Sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
To prove above propert, let us assume a ΔABC
extend AB to D in such a way that AD=AC.
In ΔDBC, as the angles opposite to equal sides are always equal, so,
∠ADC=∠ACD
so,
∠BCD>∠BDC
As the sides opposite to the greater angle is longer, so,
BD>BC
AB+AD>BC
Since AD=AC, then,
AB+AC>BC
Hence, sum of two sides of a triangle is always greater than the third side.
To learn more about triangles from the given link
brainly.com/question/2644832
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