Question

which statement can verify the triangle inequality theorem? (1 point)
an exterior angle is equal to its two remote interior angles.
the sum of any two sides of a triangle is greater than the length of the third side.
the three angles of a triangle will always amount to 180 degrees.
the formula $a^{2}+b^{2}=c^{2}$ will find the length of the third side of any triangle.

Explanation:

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. The first option is about exterior - angle property, the third is about angle - sum property of a triangle, and the fourth is the Pythagorean theorem which applies only to right - angled triangles.

Answer:

The sum of any two sides of a triangle is greater than the length of the third side.