Triangles and Their Side Lengths Answers

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?

Which are the possible side lengths of a triangle?

Triangle A B C is shown. Side A B has a length of 12. Side B C has a length of x. Side A C has a length of 15.

3 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B.

Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains whether she is correct?

The isosceles triangle has a base that measures 14 units.

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.Triangle DEF is an obtuse triangle.The angle at vertex D is acute.The angle at vertex F is obtuse.Triangle DEF is a right triangle.The angle at vertex D is obtuse.

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

For a craft project, four students each chose three pieces of wire from a box.Don’s wires measure 3 inches, 5 inches, and 12 inches.Margo’s wires measure 6 inches, 8 inches, and 14 inches.Sonji’s wires measure 12 inches, 8 inches, and 17 inches.Liam’s wires measure 16 inches, 8 inches, and 27 inches.