Question

a triangle has side measuring 8 inches and 12 inches if x represents the length in inches o the third side which inequality gives the range of possible values for x

Answer 1

Triangle inequality theorem states that the sum of the lengths of two sides of a triangle will always be more than the length of the third side.

Given the two sides of the triangle as 8 inches and 12 inches.

There sum would be 8 + 12 = 20 inches.

So, according to the theorem:

Sum of side measureing 8 inches and 12 inches must be more than x.

So, 8 + 12 > x.

20 > x

Therefore, x < 20.

So, x must be less than 20 inches.

Hope this helps you!