Answers FL-1205040-MJ Grade 7 Mathematics B -GFConstructing Triangles

Constructing Triangles Answers

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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?

Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.

Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.

Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.

Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.

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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.

15 cm

24 cm

38 cm

41 cm

53 cm

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

side lengths of 5 ft, 12 ft, and 13 ft

side lengths of 2 ft, 11 ft, and 15 ft

side lengths of 3 ft, 7 ft, and 11 ft

side lengths of 4 ft, 8 ft, and 15 ft

What is the measure of DEF?

25 degrees

75 degrees

90 degrees

105 degrees

Which dimensions can create only one unique triangle?

three angles measuring , , and

three sides measuring 5 in., 12 in., and 14 in.

three sides measuring 4 ft, 8 ft, and 14 ft

Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?

Sarkis cannot draw a triangle with these side lengths.

Sarkis can only draw one unique triangle with these side lengths.

Sarkis can draw exactly two triangles with these side lengths.

Sarkis can draw more than one triangle with these side lengths.

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?

Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.

Aziza’s claim is not correct. The third side can be any length less than 26 in.

Aziza’s claim is not correct. The third side can be any length.

Aziza’s claim is not correct. The third side must create a scalene triangle.

Which dimensions can create more than one triangle?

three angles measuring , , and