Question

is it possible to form a triangle with the side lengths 3 cm, 6 cm, and 2 cm? * 1 point
yes
no
is it possible to form a triangle with the side lengths 11 in, 22 in, and 14 in? * 1 point
yes
no
is it possible to form a triangle with the side lengths 25 ft, 30 ft, and 55 ft? * 1 point
yes
no

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 first set of side - lengths (3 cm, 6 cm, 2 cm)

$3 + 2=5<6$, so a triangle cannot be formed.

Step3: Check second set of side - lengths (11 in, 22 in, 14 in)

$11+14 = 25>22$, $11 + 22=33>14$, $14 + 22 = 36>11$, so a triangle can be formed.

Step4: Check third set of side - lengths (25 ft, 30 ft, 55 ft)

$25+30 = 55$, which is not greater than 55. So a triangle cannot be formed.

Answer:

No
Yes
No