Question

Is a triangle with sides measuring 4 cm, 9 cm, and 3 cm possible to draw?

A) Yes, Paola is correct. That triangle is possible.
B) No, Paola is not correct. That triangle is not possible.
C) Cannot be determined
D) None of the above

Answer 1

A triangle with sides measuring 4 cm, 9 cm, and 3 cm is not possible to draw because the sum of the lengths of the two smaller sides is not greater than the length of the longest side.

Step-by-step explanation:

A triangle with sides measuring 4 cm, 9 cm, and 3 cm is not possible to draw. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Let's check if this condition is satisfied for the given sides:

1. 4 + 9 = 13 (greater than 3)
2. 9 + 3 = 12 (greater than 4)
3. 4 + 3 = 7 (not greater than 9)

Since the sum of the lengths of the two smaller sides is not greater than the length of the longest side, this triangle cannot be drawn.