Find the length of the side of an equilateral triangle whose height is √3 cm plz fast
Answers
Answered by
4
don't you know the formula:
h = (√3/4) a²
where 'h' is the height and 'a' is the side of the equilateral triangle
so
→ 4 ×√3 = √3 a²
→ a = 2cm
h = (√3/4) a²
where 'h' is the height and 'a' is the side of the equilateral triangle
so
→ 4 ×√3 = √3 a²
→ a = 2cm
Raja555:
thank you for asking
Answered by
11
Here is your solution
![Height \: of \: equilateral \: triangle = \frac{ \sqrt{3} }{2} \times a \\ \\ \sqrt{ 3} = \frac{ \sqrt{3} }{2} \times a \\ \\ \sqrt{3} = \frac{ \sqrt{3}a }{2} \\ \\ a = 2cm Height \: of \: equilateral \: triangle = \frac{ \sqrt{3} }{2} \times a \\ \\ \sqrt{ 3} = \frac{ \sqrt{3} }{2} \times a \\ \\ \sqrt{3} = \frac{ \sqrt{3}a }{2} \\ \\ a = 2cm](https://tex.z-dn.net/?f=Height++%5C%3A+of++%5C%3A+equilateral+%5C%3A++triangle++%3D++%5Cfrac%7B+%5Csqrt%7B3%7D+%7D%7B2%7D++%5Ctimes+a+%5C%5C++%5C%5C+%5Csqrt%7B+3%7D++%3D++%5Cfrac%7B+%5Csqrt%7B3%7D+%7D%7B2%7D++%5Ctimes+a+%5C%5C++%5C%5C++%5Csqrt%7B3%7D++%3D++%5Cfrac%7B+%5Csqrt%7B3%7Da+%7D%7B2%7D++%5C%5C++%5C%5C+a+%3D+2cm)
So,
Hence length of equilateral triangle = 2 cm
So,
Hence length of equilateral triangle = 2 cm
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