Questions: 2) 12, 11, 25 4) 3, 8, 9 6) 8, 11, 6 5) 11, 10, 24 7) Triangle with angles 60°, 60°, and side 10.6 labeled with 10.6 across from a 60° angle. 9) Triangle with angles 71°, 71°, 38°, and side 3.8 labeled with 2.5 across from a 38° angle. 11) Triangle with angles 55°, 55°, and side 2.3.

2) 12, 11, 25

4) 3, 8, 9

6) 8, 11, 6

5) 11, 10, 24

7) Triangle with angles 60°, 60°, and side 10.6 labeled with 10.6 across from a 60° angle.

9) Triangle with angles 71°, 71°, 38°, and side 3.8 labeled with 2.5 across from a 38° angle.

11) Triangle with angles 55°, 55°, and side 2.3.
Transcript text: 2) 12, 11, 25 4) 3, 8, 9 6) 8, 11, 6 5) 11, 10, 24 7) $\triangle_{60^{\circ}}^{10.6}_{60^{\circ}} \stackrel{10.6}{60^{\circ}} 10.6$ 9) $\triangle_{71^{\circ}}^{3.8}_{71^{\circ}} \stackrel{2.5}{38^{\circ}} 3.8$ 11) $\triangle_{55^{\circ}}^{2.3}_{55^{\circ}}$
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Solution

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Solution Steps

Step 1: Checking if the given lengths can form a triangle

The lengths 7, 9, and 16 can form a triangle if the sum of any two sides is greater than the third side. 7 + 9 > 16
16 > 16 is false. Thus, these lengths do not form a triangle.

The lengths 23, 9, and 11 can form a triangle if the sum of any two sides is greater than the third side. 23 + 9 > 11; 32 > 11 23 + 11 > 9; 34 > 9 9 + 11 > 23; 20 > 23 is false. Thus, these lengths do not form a triangle.

The lengths 11, 10, and 24 can form a triangle if the sum of any two sides is greater than the third side. 11 + 10 > 24; 21 > 24 is false. Thus, these lengths do not form a triangle.

Step 2: Classifying triangle 7

Triangle 7 has all sides with length 10.6. Since all sides have equal lengths, this is an equilateral triangle.

Step 3: Classifying triangle 9

Triangle 9 has two sides with length 3.8 and one side with length 2.5. Since two sides have equal lengths, this is an isosceles triangle.

Final Answer:

  1. No, No, No
  2. Equilateral
  3. Isosceles
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