contestada

In Euclidean geometry, the sum of the lengths of 2 sides of a triangle is greater than the length of the third side. The lengths of 3 sides of a triangle are 3x, 7, and 12.

Respuesta :

Answer:[tex]x \in (\frac{5}{3},\frac{19}{3})[/tex]

Step-by-step explanation:

Given

length of three sides are

[tex]3x, 7\ and\ 12[/tex]

according to Euclidean geometry

[tex]7+12>3x[/tex]

[tex]19>3x[/tex]

[tex]\frac{19}{3}>x[/tex]

also

[tex]3x+7>12[/tex]

[tex]3x>5[/tex]

[tex]x>\frac{5}{3}[/tex]

therefore value of [tex]x \in (\frac{5}{3},\frac{19}{3})[/tex]

If x is an integer then x can be [tex]2,3,4,5,6[/tex]