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A designer created a kitchen floor tile in a triangular shape. two sides of the tile have lengths of 8 inches and 9 inches. what is the range of the possible lengths, x, of the third side of the tile?

Respuesta :

Considering that it is a triangle, the range of the possible lengths, x, of the third side of the tile is: (1, 17).

What is the condition for 3 lengths to represent a triangle?

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

Hence, if 9 is the greater side:

8 + x > 9

x > 1.

If 8 and 9 are the smaller sides:

x < 8 + 9

x < 17.

Hence the range of possible lengths is:

(1, 17).

More can be learned about triangles at https://brainly.com/question/25401493

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