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

The length of the third side could be greater than 3 units and less than 15 units.

Step-by-step explanation:

If a, b and c are three sides of the triangle, then

Since one side has a length of 9 units and another side has a length of 6 units, you have

Hence, you get

Altogether,

The length of the third side could be greater than 3 units and less than 15 units.

Answer 2

The length of the third side could be greater than 3 units and less than 15 units.

Explanation:

If a, b and c are three sides of the triangle, then

• 
  `a+b>c;`
• 
  `a+c>b;`
• 
  `b+c>a.`

Since one side has a length of 9 units and another side has a length of 6 units, you have

`9+6>c,\\ \\9+c>6,\\ \\6+c>9.`

Hence, you get

`c<15,\\ \\c>-3,\\ \\c>3.`

Altogether,

`3<c<15.`

The length of the third side could be greater than 3 units and less than 15 units.