AnswersAZ-Geometry A MA201Triangles and Their Side Lengths

Lesson 3: Isosceles Triangles Answers

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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.

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A
EF + FD > DE
B
ED + EF < DF
C
ED + EF > DF
D
EF + FD < DE
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Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

A
less than 90°.
B
greater than 90°.
C
congruent to angle B.
D
congruent to angle C.
3

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.

Question illustration
A
0
B
1
C
3
D
7
4

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?

A
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
B
Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
C
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
D
Iliana will be able to construct a triangle because the sum of any two sides is less than the third side.

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