By Applying the knowledge of radicals, the perimeter of the given triangle is calculated as 63√6 cm
What is the Perimeter of a Triangle?
The perimeter of a triangle is add up the length of all its three sides.
Given the triangle in the image:
Perimeter = 12√54 + 15√6 + 6√24
Simplify each radicals
[tex]12\sqrt{9 \times 6} + 15\sqrt{6} + 6\sqrt{(4 \times 6)} \\12 \times3\sqrt{6} + 15\sqrt{6} + 6 \times2\sqrt{6}\\\\36\sqrt{6} + 15\sqrt{6} + 12\sqrt{6} \\[/tex]
Perimeter = 63√6 cm
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