Question

the area of equilateral triangle is 20 root 3cm square whose each side is 8cm. state whether the following statement is true or false justify your answer

Answer 1

As area of equilateral triangle = √3/4 a^2

So 20√3 = √3/4 a^2

80 = a^2

a= 4√5

As each side given is 8 cm

so it's false

Answer 2

$\underline {\underline {\huge{\mathfrak {ANSWER ;}}}}$

For Area of equilateral triangle,

Area = √3 ( side )²/ 4

Given, Area of equilateral triangle = 20√3 cm²

Area = √3 ( 8 )² / 4

Area = √3 × 8 × 2

AREA = 16√3 cm²

16√3 ≠ 20√3

So, the following statement is false.