Triangle Inequalities Answers

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?

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

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.

The isosceles triangle has a base that measures 14 units.

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.

Which are the possible side lengths of a triangle?

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.

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.

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

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