Question

sample response: first, look at the side lengths a, b, and c, where c is the longest. then take the sum of a squared and b squared and compare it to c squared. if they are equal, the triangle is a right triangle. if c squared is less than a squared plus b squared, the triangle is acute. if c squared is greater than a squared plus b squared, the triangle is obtuse. what did you include in your response? check all that apply. if a^2 + b^2 = c^2, the triangle is right. if c^2 < a^2 + b^2, the triangle is acute. if c^2 > a^2 + b^2, the triangle is obtuse.

Explanation:

The given text describes the Pythagorean - related rules to classify triangles as right - angled, acute, or obtuse based on the relationship between the squares of their side lengths. The checkboxes list these rules.

Answer:

If \(a^{2}+b^{2}=c^{2}\), the triangle is right.
If \(c^{2}If \(c^{2}>a^{2}+b^{2}\), the triangle is obtuse.