Question

Revisit the sets of numbers in question 2. Which one would form a right triangle? Which one would form an acute triangle? Which one would form an obtuse triangle? Explain how you know.

Answer 1

1. {3, 4, 5}
- This set would form a right triangle because 3^2 + 4^2 = 5^2 (9 + 16 = 25).

2. {4, 6, 8}
- This set would form an obtuse triangle because 4^2 + 6^2 < 8^2 (16 + 36 < 64).

3. {5, 6, 7}
- This set would form an acute triangle because 5^2 + 6^2 > 7^2 (25 + 36 > 49).