Question

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

Answer 1

3 < c < 15

Explanation:

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

`a+b>c\\a+c>b\\b+c>a`

if a =9 and b=6, then:

`9+6>c\\9+c>6\\6+c>9\\c<15\\c>-3\\c>3`

Combining those inequalities gives us:

`3<c<15`

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