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

Question

3 years ago

12

is equal to.
Help me with math.

1 answer:

svp [43] · Answer 1 · 2022-09-15T02:14:14+03:00

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$CG = \frac{2}{3} CM \\$

$15 = \frac{2}{3} CM \\$

$\frac{2}{3} CM = 15 \\$

Multiply sides by 3

$3 \times \frac{2}{3} CM = 3 \times 15 \\$

$2CM = 45$

Divide sides by 2

$\frac{2CM}{2} = \frac{45}{2} \\$

$CM = 22.5$

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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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