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In ΔABC, G is the centroid. If AD = 6 cm, BC = 4 cm and BE = 9 cm find the perimeter of ΔBDG.

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In ΔABC, G is the centroid. If AD = 6 cm, BC = 4 cm and BE = 9 cm find the perimeter of ΔBDG.

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In ΔABC, G is the centroid.

If AD = 6 cm

⇒ GD = 1/3 of AD = 1/3 (6)

BE = 9 cm

⇒ BG = 2/3 of BE = 2/3 (9) = 6cm

Also D is the midpoint of BC ⇒ BD

= 1/1 of BC = 1/2 (4) = 2cm

∴ Perimeter of ΔBDG = BD + GD + BG = 2 + 2 + 6 = 10 cm

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