Question

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.

Answer 1

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`CG = (2)/(3) CM \\`

`15 = (2)/(3) CM \\`

`(2)/(3) CM = 15 \\`

Multiply sides by 3

`3 * (2)/(3) CM = 3 * 15 \\`

`2CM = 45`

Divide sides by 2

`(2CM)/(2) = (45)/(2) \\`

`CM = 22.5`

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`CM = CG + GM`

`22. = 15 + GM`

`GM + 15 = 22.5`

Subtract sides 15

`GM + 15 - 15 = 22.5 - 15`

`GM = 7.5`

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