Question

if the altitude of an equilateral triangle is 4√3 cm,then what is the area of equilateral triangle​

Answer 1

Answer:

The area of equilateral ∆ is 27.71 cm²

Step-by-step explanation:

Altitude of equilateral ∆ = 4√3 cm

=> √3/2 a = 4√3

=>√3a = 8√3

=> a = 8 cm

Area of equilateral ∆ = √3/4a²

=> Area of equilateral ∆ = √3/4 × 8 × 8

=> Area of equilateral ∆ = 16√3

=> Area of equilateral ∆ = 27.71 cm²

Hence the area of equilateral ∆ is 27.71 cm²

Answer 2

Answer:

27.71 cm²

Step-by-step explanation:

Given : Altitude of equilateral triangle = 4√3

To find : Area of equilateral triangle

Let side of equilateral triangle be "A"

→ Altitude of equilateral ∆ = 4√3

=> √3/2 x a = 4√3

=> a = 4√3 x 2/√3

=> a = 4 x 2 = 8 Cm

Hence , Each side of equilateral triangle is 8 cm

★Area of equilateral triangle = √3/4 x (a)²

=> √3/4 x (8)²

=> √3/4 x 64

=> √3 x 16

=> 16√3

=> 27.71 cm²