Question

1. decide if the side lengths below would form a triangle or not. slide them into the right category. the outlined content above was added from outside of formative. 12, 4, 17 9, 14, 6 6, 11, 4 yes, these sides form a triangle. answer by dragging items here no, these sides do not form a triangle. answer by dragging items here

Explanation:

Step1: Recall triangle - inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step2: Check side - lengths 12, 4, 17

$12 + 4=16<17$, so they do not form a triangle.

Step3: Check side - lengths 9, 14, 6

$9+6 = 15>14$, $9 + 14=23>6$, $14 + 6=20>9$, so they form a triangle.

Step4: Check side - lengths 6, 11, 4

$6+4 = 10<11$, so they do not form a triangle.

Answer:

• 12, 4, 17: No, these sides do not form a triangle.
• 9, 14, 6: Yes, these sides form a triangle.
• 6, 11, 4: No, these sides do not form a triangle.