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

Answer:

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

• $a+b>c;$
• $a+c>b;$
• $b+c>a.$

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

$c-3,\\ \\c>3.$

Altogether,

$3$

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