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G is the centroid of the equilateral triangle ABC. If AB = 10 cm then length of AG is
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5√3 cm 3 -
10√3 cm 3 - 10√3 cm
- 10√3 cm
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Correct Option: B
First of all , We draw a figure of equilateral triangle ABC whose length is 10 cm ,
AB = 10 cm
BD = 5 cm
∠ ADB = 90°
∴ AD = √AB² - BD²
AD = √10² - 5²
AD = √100 - 25
AD = √75
AD = 5√3 cm
| AG = | AD = | × 5 √3 | ||
| 3 | 3 |
| AG = | cm | |
| 3 |
