Which set of lengths can form a triangle?

A triangle has side lengths 8, 15, and x. What is the smallest integer value of x that will satisfy the triangle inequality?

A triangle has two sides of lengths 5 and 11. What is the possible length of the third side x?

If a triangle has side lengths 4, 7, and x, which of the following values of x will NOT satisfy the triangle inequality?

In triangle ABC, if side lengths are given as AB = 5, AC = 7, and BC = 10, which of the following inequalities must hold true?

In triangle ABC, if angle A is the largest angle, which side is the longest?

In triangle XYZ, if side XY is longer than side XZ, what can we infer about the angles?

In triangle PQR, if side PR measures 8 cm and side PQ measures 10 cm, what can be inferred about the angles?

In triangle DEF, if angle D is the largest angle and measures 120 degrees, which side is the longest?

In triangle JKL, if angle K is 40 degrees and angle J is 75 degrees, which side is the shortest?

Which set of side lengths can form a triangle according to the triangle inequality theorem?