Constructing Triangles

Question 1

What error did Lara make?

Revolt · Accepted Answer

C: Lara should have only divided the side lengths by 2 in order to reduce the triangle.

Question 2

BAC must measure

Revolt · Accepted Answer

30

Question 3

Question 3

Revolt · Accepted Answer

Angle B = 30° Angle C = 90° AB = 10 AC = 5: 60º; Angle B = 30° Angle C = 90° AB = 10 AC = 5: 5 < BC < 15

Question 4

Angle A = 0º30º45º✔ 60º

Revolt · Accepted Answer

D: ✔ 60º

Question 5

Which measurements could be the length of the third side? Select all that apply.

Revolt · Accepted Answer

B: 21 inches; C: 35 inches

Question 6

How many triangles can he construct?

Revolt · Accepted Answer

D: He cannot construct a triangle.

Question 7

From which set of dimensions could a triangle be constructed?

Revolt · Accepted Answer

D: side length of 2side length of 6side length of 7

Question 8

Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you know.

Revolt · Accepted Answer

No, the triangle is not possible. According to the triangle inequality rule, the sum of any two sides must be greater than the third side. Here, the sum of the two shorter sides is 4 + 6 = 10, which is less than the third side of 11. Since 10 < 11, the segments cannot form a triangle.

Question 9

Which dimensions will create an unlimited number of triangles?

Revolt · Accepted Answer

B: angle 45ºangle 45ºangle 90º

Question 10

BC = 0 < BC < 5✔ 5 < BC < 1510 < BC < 1510 < BC < 50

Revolt · Accepted Answer

B: ✔ 5 < BC < 15

Constructing Triangles Answers

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