Question

In Triangle ABC, AB= CD and G is the Centroid. CG= 8cm

a) Find length of GD.
b) Find length of CD.
c) Find area of triangle ABC.
d) What is the suitable name for Triangle ABC​

Answer 1

Answer:

where is answer above question

Answer 2

Answer:

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Step-by-step explanation:

GD- 4cm

CD- 12cm

Area of ∆ABC- 72cm².

∆ABC- Equilateral Triangle

Step-by-step explanation:

As we know, a centroid divides the altitude into 2:1

Therefore,

\frac{cg}{gd} = \frac{2}{1}

gd

cg

=

1

2

cg = 2gdcg=2gd

2gd = 8cm2gd=8cm

gd = 4cmgd=4cm

Now, CD= CG+GD

CD= (8+4)cm

CD=12cm.

Therefore, Area of ∆ABC=

\frac{1}{2} \times base \times height

2

1

×base×height

Since, Base=Height

\frac{1}{2} \times 12 \times 12

2

1

×12×12

72cm^{2}72cm

2

As, all sides are equal in the ∆ABC,

Since centroid divides it in 2:1.