Question

Each side of an equilateral triangle is 2x cm. IF x√3= 48, then its area is

Answer 1

Answer:

hi

Step-by-step explanation:

Side of an equilateral triangle=2x cm

Also x√3 =48

x = 48/√3

Area of equilateral triangle= √3/4(side)^2

=√3/4(2x)^2

=√3/4*4*(48/√3)^2

=48/√3 cm^2

Answer 2

Area of the triangle = 16√3 cm²

Given:

Each side of an equilateral triangle is 2x

And  x√3= √48  

[In given problem x√3=√48 might be wrong the corrected one is

x√3= √48 ]

To find:

Area of the triangle

Solution:

Given that  x√3= √48    

⇒ (x√3)² = (√48)²   do squaring on both sides ]

⇒ 3x² = 48    

⇒ x² = 16

⇒ x = 4

From given data, side of triangle = 2x

⇒ 2x = 2(4) = 8

As we know

        Area of equilateral =  √3/4 a²

Area of the triangle = √3/4 × (8)² = √3 × 16 = 16√3 cm²  

Area of the triangle = 16√3 cm²

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