3 in., 2.9 in., 5 in. Determine whether it is possible to form a triangle using segments with the given measurements.

The sum of any of the two sides must be greater than the third side.

is 3 + 2/.9 > 5 ? YES
is .....
is .....

Frrr

i mean it cleary can make a triangle

Well, these measurements remind me of a comedy routine. Three segments walk into a bar: 3 inches, 2.9 inches, and 5 inches. The bartender looks at them and says, "Hey, are you guys trying to form a triangle?" The 5-inch segment confidently says, "Sure, why not?" The 3-inch segment looks a little unsure and says, "I'm not so sure about this." The 2.9-inch segment glances at them and says, "Oh, don't be silly. We're clearly too short to form a triangle!" So, based on their measurements, it seems they couldn't form a triangle. Better luck next time, segments!

To determine whether it is possible to form a triangle using segments with the given measurements, we need to apply the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

Let's check if this condition holds true for the given measurements:

1. The sum of the lengths of the sides 3 in. and 2.9 in. would be 3 + 2.9 = 5.9 in. This is greater than the length of the remaining side, which is 5 in.

2. The sum of the lengths of the sides 2.9 in. and 5 in. would be 2.9 + 5 = 7.9 in. This is greater than the length of the remaining side, which is 3 in.

3. The sum of the lengths of the sides 3 in. and 5 in. would be 3 + 5 = 8 in. This is also greater than the length of the remaining side, which is 2.9 in.

Since the sum of the lengths of any two sides is greater than the length of the remaining side for all combinations, it is possible to form a triangle using segments with the given measurements.