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In the triangle ABC, point M is the midpoint of AB and point G in the medicander. It is given that CG = 15 cm. Find how much GM is equal to.

Help me with math.

In the triangle ABC point M is the midpoint of AB and point G in the medicander It is given that CG 15 cm Find how much GM is equal to Help me with math class=

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hnori22003

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[tex]CG = \frac{2}{3} CM \\ [/tex]

[tex]15 = \frac{2}{3} CM \\ [/tex]

[tex] \frac{2}{3} CM = 15 \\ [/tex]

Multiply sides by 3

[tex]3 \times \frac{2}{3} CM = 3 \times 15 \\ [/tex]

[tex]2CM = 45[/tex]

Divide sides by 2

[tex] \frac{2CM}{2} = \frac{45}{2} \\ [/tex]

[tex]CM = 22.5[/tex]

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[tex]CM = CG + GM[/tex]

[tex]22. = 15 + GM[/tex]

[tex]GM + 15 = 22.5[/tex]

Subtract sides 15

[tex]GM + 15 - 15 = 22.5 - 15[/tex]

[tex]GM = 7.5[/tex]

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