Triangles and Their Side Lengths Answers

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?

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.

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.

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?

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.

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

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

Triangle QRS has the angle measures shown.