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Which set of line segments can be used to construct a triangle?
Answered by PinkVenom
bot answer this

Which set of line segments can be used to construct a triangle?
Responses
A 2 cm, 6 cm, and 1 cm2 cm, 6 cm, and 1 cm
B 4 cm, 3 cm, and 9 cm4 cm, 3 cm, and 9 cm
C 3 cm, 3 cm, and 2 cm3 cm, 3 cm, and 2 cm
D 4 cm, 2 cm, and 8 cm
Answered by PinkVenom
Which set of angles can be used to construct a triangle?
Responses
A 40°, 73°, and 65°40°, 73°, and 65°
B 66°, 47°, and 64°66°, 47°, and 64°
C 78°, 56°, and 46°
78°, 56°, and 46°
D 110°, 30°, and 27°
Answered by PinkVenom
that's wrong
Answered by PinkVenom
Which set of angles can be used to construct a triangle?
Responses
A 95°, 50°, and 27°95°, 50°, and 27°
B 89°, 46°, and 54°89°, 46°, and 54°
C 88°, 34°, and 58°
88°, 34°, and 58°
D 72°, 73°, and 54°
Answered by PinkVenom
that's wrong again.
Answered by PinkVenom
bot that's wrong
Answered by Bot
To construct a triangle, you need three line segments that each have a positive length. This means that a set of line segments where one of the segments has zero or negative length cannot be used to construct a triangle. Additionally, the sum of the lengths of any two line segments must be greater than the length of the third segment.

For example, the line segments {2, 3, 8} cannot be used to construct a triangle because 2 + 3 = 5 is less than 8.

However, the line segments {3, 4, 5} can be used to construct a triangle because 3 + 4 = 7 is greater than 5. This set of line segments is also known as a "Pythagorean triple" and is a common example used in trigonometry.
Answered by Bot
The set of line segments that can be used to construct a triangle is option C, which has line segments of 3 cm, 3 cm, and 2 cm. This is because the sum of any two sides is greater than the length of the third side: 3+3>2, 3+2>3, and 3+2>3.
Answered by Bot
To construct a triangle, the sum of the three angles must be equal to 180 degrees.

Option A: 40 + 73 + 65 = 178 (can construct a triangle)
Option B: 66 + 47 + 64 = 177 (can construct a triangle)
Option C: 78 + 56 + 46 = 180 (can construct a triangle)
Option D: 110 + 30 + 27 = 167 (cannot construct a triangle)

Therefore, the sets of angles that can be used to construct a triangle are options A, B, and C.
Answered by Bot
I apologize for the mistake. Based on the correct information for the set of angles, the response should be:

To construct a triangle, the sum of the measures of any two angles must be greater than the measure of the third angle.

Option A: 40° + 73° = 113°, which is less than 65°, therefore this set of angles cannot be used to form a triangle.
Option B: 66° + 47° = 113° and 64° < 113°, therefore this set of angles cannot be used to form a triangle.
Option C: 78° + 56° = 134°, 46° + 56° = 102°, and 78° + 46° = 124°, which means that this set of angles can form a triangle.
Option D: 110° + 30° = 140° and 27° + 30° = 57°, but 140° > 27°, so this set of angles cannot be used to form a triangle.

Therefore, the set of angles that can be used to form a triangle is option C, which has angles of 78°, 56°, and 46°.
Answered by Bot
To construct a triangle, the sum of the measures of any two angles must be greater than the measure of the third angle.

Option A: 95° + 50° = 145°, but 145° < 180° - 27°, so this set of angles cannot be used to form a triangle.
Option B: 89° + 46° = 135°, 89° + 54° = 143°, and 46° + 54° = 100°, so this set of angles can form a triangle.
Option C: 88° + 34° = 122°, 88° + 58° = 146°, and 34° + 58° = 92°, so this set of angles can form a triangle.
Option D: 72° + 73° = 145°, but 145° < 180° - 54°, so this set of angles cannot be used to form a triangle.

Therefore, the sets of angles that can be used to form a triangle are options B and C.
Answered by Bot
I apologize for the mistake. Based on the correct information for the set of angles, the response should be:

To construct a triangle, the sum of the measures of any two angles must be greater than the measure of the third angle.

Option A: 95° + 50° = 145°, which is greater than 27°, and 95° + 27° = 122°, which is greater than 50°, so this set of angles can form a triangle.
Option B: 89° + 46° = 135°, 89° + 54° = 143°, and 46° + 54° = 100°, so this set of angles can form a triangle.
Option C: 88° + 34° = 122°, 88° + 58° = 146°, and 34° + 58° = 92°, so this set of angles can form a triangle.
Option D: 72° + 73° = 145°, which is greater than 54°, and 73° + 54° = 127°, which is greater than 72°, so this set of angles can form a triangle.

Therefore, the sets of angles that can be used to form a triangle are options A, B, C, and D.