Constructing Triangles

Question 1

You can create no triangletwo triangles✔ many trianglesone unique triangle with the given measurements.

Revolt · Accepted Answer

many triangles

Question 2

What error did Lara make?

Revolt · Accepted Answer

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

Question 3

BAC must measure

Revolt · Accepted Answer

30

Question 4

Angle A = Angle B = 30° Angle C = 90° AB = 10 AC = 5 BC =

Revolt · Accepted Answer

Selection 1: 60º; Selection 2: 5 < BC < 15

Question 5

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

Revolt · Accepted Answer

21 inches; 35 inches

Question 6

From which set of dimensions could a triangle be constructed?

Revolt · Accepted Answer

side length of 2side length of 6side length of 7

Question 7

Which dimensions will create an unlimited number of triangles?

Revolt · Accepted Answer

angle 45ºangle 45ºangle 90º

Question 8

Sally states that a triangle can only have one obtuse or right angle. However, a triangle must have at least two acute angles. Is Sally correct? Explain.

Revolt · Accepted Answer

Sally is correct. The sum of the interior angle measures of a triangle must equal 180 degrees. If a triangle had two right angles (90 + 90 = 180) or two obtuse angles (both greater than 90), the sum of just those two angles would be 180 degrees or more, leaving no room for a third angle. Therefore, a triangle can only have at most one right or obtuse angle, and the other two angles must be acute.

Question 9

Select all that you included in your response.

Revolt · Accepted Answer

Yes, more than one obtuse or right angle would make the sum of the interior angle measures greater than 180.; Two angles must be acute.; The sum of the measures of the interior angles must be 180 degrees.

Constructing Triangles Answers

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