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What is the length of the side of an equilateral triangle if the height is 7√3

 May 29, 2021
 #1
avatar+11870 
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What is the length of the side of an equilateral triangle if the height is 7√3

 

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\(a^2=(\dfrac{a}{2})^2+(7\sqrt{3})^2\ |\ -(\dfrac{a}{2})^2\\ \dfrac{3a^2}{4}=3\cdot49\\ a=\sqrt{\dfrac{3\cdot 49\cdot 4}{3}}\\ \)

\(a=14\)

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 May 29, 2021
 #2
avatar+1452 
+3

The length of a side is:    (7√3) / cos30º = 14

 May 29, 2021

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