Triangles and Their Side Lengths Answers

Triangle QRS has the angle measures shown.

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

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

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

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

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?

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.

3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.

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.