【Haichuan Thinks 02】How to find the side length of this equilateral triangle
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How to find the side length of this equilateral triangle
Happy New Year, Old Fish! The side length I calculated is 16/√3; I haven’t checked it yet, so I’m not sure if it’s correct . {:3_51:}
The method involves connecting the intersection point of three perpendicular lines to the three vertices, which allows the area to be calculated; meanwhile, the area of an equilateral triangle is equal to 1/4 times the base length multiplied by square root of three
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I calculated the side lengths using trigonometric functions. Using the area method for verification, the side length = 16/√3, which is correct. {:3_51:}
Using the area method, 1/2absinα=∑3 small triangles, with side length of 6√3
(1+3+5)*a/2=√3/4a*a; thus, a=18/√3=6*√3
Ah, oh no, big brother made a mistake – (5+3+1) = 8. It’s not 8… that’s awful… If it’s not 8, I’ll become poor and suffer from stomach problems; my anus will also hurt and I’ll have diarrhea.... {:3_51:}
Equal area method, side length 6√3.