Question

each side of the equalaterial triangle is 2x CM If x √3=48 then find its area​

Answer 1

Answer:

768√3 cm²

Step-by-step explanation:

each side of an equilateral triangle = 2x cm

Given,

     x√3 = 48

Therefore,

     x = 48/√3

Then we need to rationalize the denominator,

           x = (48 / √3) × (√3 / √3)

           x = 48×√3 / 3

           x = 16√3

Since we are given that each side of an equilateral triangle is 2x,

we multiply the value of x(which we just calculated).

               2x = 2 × (16√3)

                    = 32√3 cm

So 32√3 cm is the length of the side of the triangle.

Since the area of equilateral triangle = (√3 /4) × (side)²

                                   Area of triangle = (√3 /4) × ( 32√3 )²

                                                              = (√3 /4) × (1024 × 3)

                                                              = (√3 /4) × 3072

                                                              = 768√3 cm²

Therefore,

The area of the equilateral triangle is 768√3cm²

Hopefully this helped you out.