Answer:x
x=
√
3
/3
,
−
√
3
/3
Step-by-step explanation:
its that because idk what kind of question is that
see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC
![AB=BC=AC=16 units](https://tex.z-dn.net/?f=AB%3DBC%3DAC%3D16%20units)
the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem
![BC^{2} =BD^{2}+DC^{2}](https://tex.z-dn.net/?f=BC%5E%7B2%7D%20%3DBD%5E%7B2%7D%2BDC%5E%7B2%7D)
solve for BD
![BD^{2}=BC^{2}-DC^{2}](https://tex.z-dn.net/?f=BD%5E%7B2%7D%3DBC%5E%7B2%7D-DC%5E%7B2%7D)
substitute the values
![BD^{2}=16^{2}-8^{2}](https://tex.z-dn.net/?f=BD%5E%7B2%7D%3D16%5E%7B2%7D-8%5E%7B2%7D)
![BD^{2}=192](https://tex.z-dn.net/?f=BD%5E%7B2%7D%3D192)
![BD=\sqrt{192}\ units](https://tex.z-dn.net/?f=BD%3D%5Csqrt%7B192%7D%5C%20units)
therefore
<u>the answer is</u>
the height of the triangle is ![\sqrt{192}\ units](https://tex.z-dn.net/?f=%5Csqrt%7B192%7D%5C%20units)
Answer:
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Answer:
6√3
Step-by-step explanation:
V = 648•(3½) = 8•81•(3½) where the SQUARE ROOT OF 3 has been written with a fractional exponent V = s3
so s = cube root of this V.
Cube root of 8 is 2; cube root of 81 is 3•3^(1/3) and cube root of square root of 3 is 3^(1/6).
Therefore s = 2•3•3^(1/3 + 1/6) = 2•3•3½ = 6√3.
You will need to get s2 = 36•3 = 108. Finally, T.S.A. = 6 s2 = 6(108) = 648.