Triangles and Their Side Lengths Answers

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3

Which are the possible side lengths of a triangle?

A
3 cm, 5 cm, 9 cm
B
4 cm, 8 cm, 10 cm
C
6 cm, 9 cm, 17 cm
D
8 cm, 10 cm, 18 cm
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.
5

must

l
less than 90°.
g
greater than 90°.
c
congruent to angle B.
c
congruent to angle C.
9

Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be

A
equal to 45°.
B
greater than 45° and less than 90°.
C
equal to 90°.
D
greater than 90° and less than 180°.
10

Which statements about the diagram are true? Select three options.

A
D E + E F greater-than D F
Option A
B
is an isosceles triangle.
Option B
C
5 less-than D F less-than 13
Option C
D
D E + D F less-than E F
Option D
E
is a scalene triangle.
Option E

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