Triangles and Their Side Lengths Answers

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 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.

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.

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

Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. Which diagram shows a way in which he can cut the wood to create three pieces that can form a triangle?

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.

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

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

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?