Constructing Triangles Answers

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Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza’s claim is correct?

A
Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.
B
Aziza’s claim is not correct. The third side can be any length less than 26 in.
C
Aziza’s claim is not correct. The third side can be any length.
D
Aziza’s claim is not correct. The third side must create a scalene triangle.
2
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Two lengths of a triangle are shown. Which could be the length of ?

Question illustration
A
4 in.
B
9 in.
C
16 in.
D
19 in.
3

Which descriptions can describe more than one triangle? Select two options.

A
side lengths of 6 ft, 8 ft, and 10 ft
B
angle measurements of , , and
Option B
C
angle measurements of , , and
Option C
D
angle measurements of , , and
Option D
E
side lengths of 4 cm, 6 cm, and 9 cm
4

Which dimensions cannot create a triangle?

A
three angles measuring , , and
Option A
B
three angles measuring , , and
Option B
C
three sides measuring 5 in., 12 in., and 13 in.
D
three sides measuring 4 ft, 8 ft, and 14 ft
5

Compare the given dimensions of four triangles. Which triangle is possible to construct?

A
side lengths of 5 ft, 12 ft, and 13 ft
B
side lengths of 2 ft, 11 ft, and 15 ft
C
side lengths of 3 ft, 7 ft, and 11 ft
D
side lengths of 4 ft, 8 ft, and 15 ft
6

Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.

A
15 cm
B
24 cm
C
38 cm
D
41 cm
E
53 cm
7

Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side?

A
6 cm
B
18 cm
C
24 cm
D
28 cm
8

Which dimensions cannot create a triangle?

A
three angles measuring , , and
Option A
B
three sides measuring 9 m, 15 m, and 9 m
C
three angles measuring , , and
Option C
D
three sides measuring 6 cm, 8 cm, and 10 cm
9

Which dimensions can create more than one triangle?

A
three angles measuring , , and
Option A
B
three sides measuring 7 m, 10 m, and 12 m
C
three angles measuring , , and
Option C
D
three sides measuring 3 cm, 4 cm, and 5 cm
10

Two sides of a triangle measure 5 in. and 12 in. Which could be the length of the third side?

A
3 in.
B
6 in.
C
10 in.
D
18 in.

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