Constructing Triangles Answers

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1
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Which dimensions can create more than one 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 10 ft
2
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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
3

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

Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible given these side lengths. Which statement about Lukas’s claim is true?

A
Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
B
Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.
C
Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.
D
Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.
7

Zahra plans to draw a triangle with angles measuring , , and . Which is true about Zahra’s plan?

Question illustration
A
Zahra cannot make a triangle with these angle measures.
B
Zahra can only draw one unique triangle with these angle measures.
C
Zahra can make exactly two triangles with these angle measures.
D
Zahra can make more than one triangle with these angle measures.
9

Which dimensions can create only one unique triangle?

A
three angles measuring , , and
Option A
B
three angles measuring , , and
Option B
C
three sides measuring 5 in., 12 in., and 14 in.
D
three sides measuring 4 ft, 8 ft, and 14 ft
10

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.

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Constructing Triangles Answers — FL-1205040-MJ…