# Triangles And Their Side Lengths

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question
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.
question
Triangle QRS is a right triangle with the right angle of vertex R. The sum of m
c. equal to 90°
question
Which inequality can be used to explain why these three segments cannot be used to construct a triangle?
b. AC + CB < AB
question
Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be
a. less than 90°
question
E D F Which statements about the diagram are true? Check all that apply.
DE + EF > DF 5 < DF < 13 △DEF is a scalene triangle.
question
Which are the possible side lengths of a triangle?
b. 4 cm, 8 cm, 10 cm
question
In triangle XYZ, m m
d. m
question
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?
c. Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
question
DE EF DF Which inequality explains why these three segments cannot be used to construct a triangle?
b. ED + EF < DF
question
Triangle QRS has the angle measures shown. m