Respuesta :

Answer:

0 < x < 6.7

(0; 6.7)

Step-by-step explanation:

The sum of two side lengths of a triangle is always greater than the third side. Otherwise the triangle CANNOT exist.

Therefore 2.7 + 4.0 > x

6.7 > x

x also cannot be a negative number, so x < 0

0 < x < 6.7

(0; 6.7)

Answer:

1.3 < x < 6.7

Explanation:

Given two sides of a triangle: 2.7 and 4.0

If 'x' will be the largest side:

  • third side < sum of two sides
  • x < 2.7 + 4.0
  • x < 6.7

If 'x' will be smallest side:

  • third side > difference between two sides
  • x > 4.0 - 2.7
  • x > 1.3

Hence range of possible size: 1.3 < x < 6.7