Triangles And Their Side Lengths

7 September 2022
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13 test answers

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question
If triangle DEF has a 90° angle at vertex E, which statements are true? Check all that apply.
answer
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
answer
c. equal to 90°
question
Which inequality can be used to explain why these three segments cannot be used to construct a triangle?
answer
b. AC + CB < AB
question
Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be
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a. less than 90°
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E D F Which statements about the diagram are true? Check all that apply.
answer
DE + EF > DF 5 < DF < 13 â–³DEF is a scalene triangle.
question
Which are the possible side lengths of a triangle?
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b. 4 cm, 8 cm, 10 cm
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In triangle XYZ, m m
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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?
answer
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?
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b. ED + EF < DF
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Triangle QRS has the angle measures shown. m
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108
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A B C (12, 15, x) The value of x must be greater than
answer
3
question
(Fiona's schools has three hallways that make up three sides) What are the possible lengths of the third hallway that she did not walk through?
answer
d. between 30 yards and 150 yards
question
Steven is cutting an 11ft 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?
answer
d. 3ft | 4ft | 4ft