Final answer:
The perimeter of a triangle is the sum of its sides. For a right triangle, the Pythagorean theorem can be used to find the length of one side if the other two are given. Therefore, the perimeter of the given triangle is 12.0 cm.
Step-by-step explanation:
To calculate the perimeter of a triangle, you add up the lengths of all its sides. This triangle seems to be a right triangle, and the lengths of the sides can be derived using the Pythagorean theorem (a² + b² = c²), where a and b are the lengths of the sides, and c is the hypotenuse (the longest side).
From the data provided, the lengths of the two sides are already given, 3.0 cm and 4.0 cm, and the length of the hypotenuse is calculated to be 5.0 cm (since (3.0 cm)² + (4.0 cm)² = 5.0 cm).
To find the perimeter of the triangle, add these lengths together - perimeter = 3.0 cm + 4.0 cm + 5.0 cm = 12.0 cm.
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