Triangles and Their Side Lengths Answers

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

Which are the possible side lengths of a triangle?

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.

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.

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

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.

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

The isosceles triangle has a base that measures 14 units.

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.

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 has the angle measures shown.

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?