Millie is drawing a triangle.One side has a length of 9 units,and another side has a length of 6 units.What could be the length of the third side of the triangle

Respuesta :

Answer:

3 < c < 15

Step-by-step explanation:

If a triangle has sides a, b, and c, one of the following relationships must be true:

[tex]a+b>c\\a+c>b\\b+c>a[/tex]

if a =9 and b=6, then:

[tex]9+6>c\\9+c>6\\6+c>9\\c<15\\c>-3\\c>3[/tex]

Combining those inequalities gives us:

[tex]3<c<15[/tex]

Therefore, the length of the third side could be any value between 3 and 15.