##### Bhaskar

#### triangle

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**Question**

In a triangle ABC,G is centroid,AG=BC ,find Angle BGC?

18-11-24

**Answer**

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In a triangle ABC , G is Centroid , AG=BC find Angle BGC

AG = 2GM

as AG = BC (given )

2GM = BC (where M is the midpoint of BC)

thus BM = MG = MC

angle MGB = angle GBM , angle MGC = angle GCM

So, MGB + MGC = GBM + GCM

that is

BGC = GBM + GCM

As the sum of all three angles is 180°

angle BGC is 90° , GBM + GCM = 90°