Question

find the side of an equilateral triangle whose area is 20√3 cm^2​

Answer 1

Answer:

Step-by-step explanation:

area=20√3

area of equilateral triangle is √3 /4 x (side)^2

==>√3 /4 x (a)^2=20√3

so a^2/4=20

a^2=80

$a=\sqrt{80} \\a=\sqrt{(4)(4)(5)} \\a=4\sqrt{5}$

so side is 4 root 5

Answer 2

Area of an equilateral triangle =

= √3/4 × a^2

20√3 = √3/4× a^2

a^2 = 20√3 × 4 / √3

a^2 = 80

a = √80 = 8.94 cm.

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