Question

applications of constructions quick check
which statement can verify the triangle inequality theorem? (1 point)
the sum of any two sides of a triangle is greater than the length of the third side.
an exterior angle is equal to its two remote interior angles.
the three angles of a triangle will always amount to 180 degrees.
the formula a² + b² = c² will find the length of the third side of any triangle.

Explanation:

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This is the key - defining statement for the theorem. The other statements refer to different geometric properties such as the exterior - angle property, angle - sum property of a triangle, and the Pythagorean theorem (which only applies to right - angled triangles).

Answer:

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