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guapka [62]
3 years ago
11

Distance measured in miles distance measured in yards 1 5

Mathematics
1 answer:
insens350 [35]3 years ago
4 0
You can use ruler and stuff and yea
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3 years ago
hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular h
Vikentia [17]
Perimter\ of\ equilateral\ triangle\ =36\\ a- \ side\ of\ triangle\\ 36=3a\ |:3\\ a=12\\\\ Area\ of\ equilateral\ triangle:\\ A=\frac{a^2\sqrt{3}}{4}\\ A=\frac{12^2\sqrt{3}}{4}\\ A=\frac{144\sqrt{3}}{4}=36\sqrt3 \\\\ Hegagon\ can\ be\ divided\ into\ 6\ equilateral\ small\ triangles.\\Area\ of\ one\ of\ them: A_s=\frac{A}{6}=\frac{36\sqrt3}{6}=6\sqrt{3}\\ s-side\ of\ equilateral\ =\ side\ of\ small\ triangle\\ A_s=\frac{s^2\sqrt{3}}{4}=6\sqrt{3}\ |*4 \\ s^2\sqrt3=24\sqrt3\ |\sqrt3\\ s^2=24\\ s=\sqrt{24}\sqrt{24}=\sqrt{4*6}=2\sqrt6\\\\&#10;Side\ of\ hexagon\ equals\ 2\sqrt6\ inches
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