In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is:
A. $$2\sqrt 2 $$ cm
B. $$3\sqrt 2 $$ cm
C. $$2\sqrt 3 $$ cm
D. $$3\sqrt 3 $$ cm
Answer: Option C
Solution(By Examveda Team)
In Equilateral triangle
$$\eqalign{ & AG:GD = 2:1 \cr & AD = \frac{{\sqrt 3 }}{2}a \cr & AD = \frac{{\sqrt 3 }}{2} \times 6 \cr & AD = 3\sqrt 3 \cr & 3 \to 3\sqrt 3 \cr & 1 \to \sqrt 3 \cr & AG = 2\,{\text{unit}} = 2\sqrt 3 \,{\text{cm}} \cr} $$
Related Questions on Triangles
If ABC and PQR are similar triangles in which ∠A = 47° and ∠Q = 83°, then ∠C is:
A. 50°
B. 70°
C. 60°
D. 80°
In the following figure which of the following statements is true?
A. AB = BD
B. AC = CD
C. BC + CD
D. AD < Cd
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