Please help on my math problem
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The formula of the 3rd Kepler`s Law:
![4 \pi ^{2} r ^{3} = T^{2}GM \\ r^{3} = \frac{T ^{2} GM}{4 \pi^{2} } \\ r = \sqrt[3]{ \frac{T ^{2}GM }{4 \pi ^{2} } }](https://tex.z-dn.net/?f=4%20%5Cpi%20%5E%7B2%7D%20r%20%5E%7B3%7D%20%3D%20T%5E%7B2%7DGM%20%5C%5C%20r%5E%7B3%7D%20%20%3D%20%5Cfrac%7BT%20%5E%7B2%7D%20GM%7D%7B4%20%5Cpi%5E%7B2%7D%20%7D%20%20%5C%5C%20r%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7BT%20%5E%7B2%7DGM%20%7D%7B4%20%5Cpi%20%20%5E%7B2%7D%20%7D%20%7D%20%20)
This is a special right triangle called a 30-60-90 triangle. It has a special property the relates the ratio of side lengths. That ratio is 1:
:2
What does this mean? If you know the shortest side of a 30-60-90 triangle, you can find the longer leg by multiplying it by, and you can find the hypotenuse by multiplying the short leg by 2.
In the picture, note that the short leg of the triangle has a length of 9. Therefore, the long leg(or n) is simply 9
What does this mean? If you know the shortest side of a 30-60-90 triangle, you can find the longer leg by multiplying it by
In the picture, note that the short leg of the triangle has a length of 9. Therefore, the long leg(or n) is simply 9