Final answer:
If a triangle meets the criteria of c2 < a2 + b2, then the triangle is acute.
Step-by-step explanation:
The statement is true.
In a triangle, if the square of the longest side is less than the sum of the squares of the other two sides, then the triangle is acute.
For example, if we have a triangle with side lengths of 4, 5, and 6:
Let's calculate:
- a^2 + b^2 = 4^2 + 5^2 = 16 + 25 = 41
- c^2 = 6^2 = 36
Since c^2 < a^2 + b^2 (36 < 41), the triangle is acute.