Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle

Step-by-step explanation:

a, b, c

a + b > c ; b + c > a ; a + c > b

5 + 4 < 10 ⇒ triangle not possible

Triangle not possible.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.

5 + 4 = 9

9 cm is not longer than 10 cm.

10 > 9

Therefore, the triangle is not possible..

I assume this is a triangle and 2.8 is the length of two sides of the triangle.

Considering the Triangle Inequality Theorem, that states that the sum of any 2 sides of a triangle must be greater than the measure of the third side, the possible lenght of the third side is:

2.8-2.8 < x < 2.8+2.8

0 < x < 5.6