Question

What is the length of each side of an equilateral triangle having an area of 4√3 cm2.​

Answer 1

Answer:

hope it will help

Step-by-step explanation:

Area of equilateral triangle(a) = 4√3 cm²

length of each side(l) = ?

we know,

Area of equilateral triangle(a) = √3÷4×a²

                                           4√3 = √3÷4×a²

        cancelled √3 and√3

                                             4 = a²÷4

                                  do cross multiply

                                     16 = a²

                                      4² = a²

                                      4 = a

Therefore, length of each side of an equilateral triangle(l) = 4 cm

Answer 2

Let length=y cm

So area=√¾ × (y cm)²

=√¾ y²cm²

But it is given as 4√3cm².

So,√¾y²=4√3

y²=4√3×4/√3

y²=16√3/√3

y²=16

y=√16

y=4

So length of each side is 4cm.

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