Answer: the first and the last line segments form a right angle triangle.
Explanation:
For the line segments to form a right angle triangle, then they must form a Pythagoras triple. This means that if we apply Pythagoras theorem, the results would be whole numbers. Pythagoras theorem is expressed as
Hypotenuse² = opposite side² + adjacent side²
1) Considering the first line segment,
53² = 28² + 45²
2809 = 784 + 2025
2809 = 2809
Therefore, the line segment would form a right angle triangle.
2) Considering the second line segment,
64² = 33² + 56²
4096 = 1089 + 3136
4096 is not equal to 4225
Therefore, the line segment would not form a right angle triangle.
3) Considering the second line segment,
85² = 77² + 36²
7225 = 5929 + 1296
7225 = 7225
Therefore, the line segment would not form a right angle triangle.