Applying the knowledge of radicals, the perimeter of the given triangle is calculated as: 63√6 cm
What is the Perimeter of a Triangle?
To find the perimeter of a triangle, add up the length of all its three sides.
Given the trangle in the image:
Perimeter = 12√54 + 15√6 + 6√24
Simplify each radicals
12√(9 × 6) + 15√6 + 6√(4 × 6)
12 × 3√6 + 15√6 + 6 × 2√6
36√6 + 15√6 + 12√6
Add like radicals together
Perimeter = 63√6 cm
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