Final answer:
Kaleem can draw one unique triangle with sides measuring 5 cm, 8 cm, and 7 cm because all conditions satisfy the Triangle Inequality Theorem. Option A is correct.
Step-by-step explanation:
The question is asking how many unique triangles Kaleem can draw with sides measuring 5 cm, 8 cm, and 7 cm. To determine this, we ensure that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which is known as the Triangle Inequality Theorem.
For the given side lengths:
The sum of the two smaller sides (5 cm + 7 cm = 12 cm) is greater than the longest side (8 cm).
The sum of the other two sides (5 cm + 8 cm = 13 cm) is greater than the other side (7 cm).
The sum of the two larger sides (7 cm + 8 cm = 15 cm) is greater than the smallest side (5 cm).
Since all conditions satisfy the Triangle Inequality Theorem, one unique triangle can be drawn with these dimensions. The answer is A) One unique triangle.