Question

Candy three segment show below for a triangle
40
29
73

Answer 1

To determine whether the three segments (40, 29, and 73) can form a triangle, we can use the triangle inequality theorem. This theorem states that for any three sides (let’s call them a, b, and c), the following conditions must be satisfied:

1. \( a + b > c \)
2. \( a + c > b \)
3. \( b + c > a \)

Let’s assign the values:
- \( a = 40 \)
- \( b = 29 \)
- \( c = 73 \)

Now we can check each of the three conditions:

1. \( 40 + 29 > 73 \)
- \( 69 > 73 \) (False)

2. \( 40 + 73 > 29 \)
- \( 113 > 29 \) (True)

3. \( 29 + 73 > 40 \)
- \( 102 > 40 \) (True)

Since the first condition is false, the segments 40, 29, and 73 cannot form a triangle.