4. What is the perimeter of the triangle shown below?
12
273
32
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Answer:
[tex]6\sqrt{2}+2\sqrt{3}[/tex]
Step-by-step explanation:
To find the perimeter of something, you add all sides. But the issue here is simplifying the squares. The easy way to do this is separate out as many squares as you can. You'll see what I mean.
[tex]\sqrt{12} + 2\sqrt{2} + \sqrt{32}\\ \sqrt{4*3}+2\sqrt{2} + \sqrt{4*4*2}\\ \sqrt{4}*\sqrt{3}+2\sqrt{2} +\sqrt{4} *\sqrt{4} *\sqrt{2}\\ see?\\2\sqrt{3}+2\sqrt{2} +4 \sqrt{2}\\ so the answer is:\\6\sqrt{2}+2\sqrt{3}[/tex]