Question

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The area of an equilateral triangle is found using √3/4(side)².Are the areas of the triangles numbered 3, 4 and 6, 8 in proportion? Justify your answer.

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Answer 1

Answer:

4 cm

Step-by-step explanation:

Area of equilateral triangle =

4

3

a

2

⇒4

3

=

4

3

a

2

⇒16

3

=

3

a

2

⇒a

2

=16

⇒a=

16

⇒a=4 cm

Hence length of the diagonal of the square is 4 cm