M is the MIDPOINT OF FG. FG = 26 AND GM = (3X - 2)
1 answer:
It is given in the question that
M is the MIDPOINT OF FG.
![FG = 26 \ AND \ GM = (3X - 2)](https://tex.z-dn.net/?f=FG%20%3D%2026%20%5C%20%20AND%20%5C%20%20GM%20%3D%20%283X%20-%202%29)
Since M is the midpoint of FG, therefore GM is half of FG. That is
![3X-2 = \frac{1}{2} (26)](https://tex.z-dn.net/?f=3X-2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2826%29)
![3X-2 =13 \\ 3X = 15 \\ X =5](https://tex.z-dn.net/?f=3X-2%20%3D13%0A%5C%5C%0A3X%20%3D%2015%0A%5C%5C%0AX%20%3D5)
Therefore
![GM = 3(5) -2 = 13](https://tex.z-dn.net/?f=GM%20%3D%203%285%29%20-2%20%3D%2013)
And FM is 13 too .
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