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

May 29, 2021

#1
+12704
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What is the length of the side of an equilateral triangle if the height is 7√3

Hello Guest!

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

$$a=14$$

!

May 29, 2021
#2
+1607
+3

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

May 29, 2021