Triangles and Their Side Lengths QUIZ 100%

Triangle QRS has the angle measures shown. m∠Q = (1x)° m∠R = (3x)° m∠S = (6x)° The measure of the obtuse angle equals

(108°.)

The value of x must be greater than

(3)

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

A, 4x < h < 10x

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

A, less than 90°.

Which are the possible side lengths of a triangle?

B, 4 cm, 8 cm, 10 cm

Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

B, AC + CB < AB

Which inequality explains why these three segments cannot be used to construct a triangle?

B, ED + EF < DF

Fiona's school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards through the first hallway to get to the next. In the afternoon, she walks 60 yards through a second hallway to exit the building. What are the possible lengths of the third hallway that she did not walk through?

D, between 30 yards and 150 yards

Which statements about the diagram are true? Check all that apply.

DE + EF > DF 5 < DF < 13 DEF is a scalene triangle A, C, E,

If triangle DEF has a 90° angle at vertex E, which statements are true? Check all that apply.

The angle at vertex D is acute. Triangle DEF is a right triangle. B, D,