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G is the centroid of ∆ABC. If AG = BC, then measure of ∠BGC is
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- 45°
- 60°
- 90°
- 120°
- 45°
Correct Option: C
As per the given in question , we draw a figure triangle ABC in which G is the centroid of ∆ABC ,
| Length of median on the hypotenuse in a right angled triangle is equal to |  | × hypotenuse |  | |
| 2 |
D is the mid-point of BC.
AG = 2GD
AG = BC
| ∴ GD = | |
| 2 |
∴ ∠ BGC = 90°
