Question 1: Construct a triangle with sides measuring 5 cm, 7 cm, and 9 cm. Use the grid to draw accurately.

Answer:

Question 2: Calculate the perimeter of a triangle with sides 8 cm, 6 cm, and 10 cm.

Answer: 24 cm

Question 3: If a triangle has sides 4 cm, 6 cm, and 8 cm, is it possible to construct such a triangle? Explain briefly.

Answer: Yes, because the sum of any two sides is greater than the third (4+6>8, 4+8>6, 6+8>4).

Question 4: Construct a triangle with sides 3 cm, 4 cm, and 5 cm. Use the grid for accuracy.

Answer:

Question 5: Determine if a triangle with sides 10 cm, 10 cm, and 15 cm exists. Show your reasoning.

Answer: Yes, because all pairs of sides sum to more than the third (10+10>15).

Question 6: Construct a triangle with sides measuring 6 cm, 8 cm, and 10 cm. Use the grid for drawing.

Answer:

Question 7: Calculate the length of the third side of a triangle if two sides are 7 cm and 9 cm, and the third side is unknown, assuming the triangle exists.

Answer: Between 2 cm and 16 cm

Question 8: Identify the error in constructing a triangle with sides 2 cm, 4 cm, and 8 cm. Explain why it cannot exist.

Answer: Because the sum of the two shorter sides (2+4=6) is less than the longest side (8), so such a triangle cannot be constructed.

Question 9: Construct a triangle with sides 5 cm, 7 cm, and 9 cm. Use the grid for accuracy.

Answer:

Question 10: A triangle has sides measuring 12 cm, 13 cm, and 14 cm. Determine if it is possible to construct this triangle and justify your answer.

Answer: Yes, because the sum of any two sides is greater than the third (12+13>14, 12+14>13, 13+14>12).

Question 11: Construct a triangle with sides of 6 cm, 8 cm, and 10 cm. Use the grid for drawing and accuracy.

Answer: