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Find the perimeter of the figure below. Show all work for each step. Work should include explanations in words detailing how you simplify each specific radical. Take your time and be thorough. Include units in final answer. Use radicals in your work and not decimals!

Find The Perimeter Of The Figure Below Show All Work For Each Step Work Should Include Explanations In Words Detailing How You Simplify Each Specific Radical Ta class=

Sagot :

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

Learn more about perimeter of a triangle on:

brainly.com/question/24382052

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