Question

if a triangle meets the criteria of $c^2 > a^2 + b^2$, then the triangle is obtuse.

○ false
○ true

Explanation:

To determine if the statement is true, we use the Pythagorean theorem and its extensions for triangles. For any triangle with sides \(a\), \(b\), and \(c\) (where \(c\) is the longest side):

• If \(c^{2}=a^{2}+b^{2}\), the triangle is right - angled.
• If \(c^{2}
• If \(c^{2}>a^{2}+b^{2}\), the triangle is obtuse (the angle opposite side \(c\) is greater than \(90^{\circ}\)).

Since the given condition is \(c^{2}>a^{2}+b^{2}\), by the above - mentioned rule, the triangle is obtuse.

Answer:

True