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.

Triangle QRS has the angle measures shown.

Fiona's school is in the shape of a triangle, with three hallways connecting the corners. Fiona enters the building and walks 90 yards through the first hallway to the first corner. Then, she walks 60 yards through the second hallway to the second corner.

Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be

Which statements about the diagram are true? Select three options.