Question

If a perimeter of a triangle equilateral is 48m find its area using heron formula

Answer 1

Step-by-step explanation:

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There is something wrong with this question let us explore:

Let x be the side length

Let h be the perpendicular height

(x/2)^2=x^2-h^2

temporarilly let h=1

x^2/4=x^2–1

3x^2/4=1, take square root of both sides

(Sqrt(3)/2)x=1

x=2/sqrt(3) but actual h=6 so multiply by 6

actual x=12/sqrt(3)

The perimeter is 3×x=36/sqrt(3)=12×sqrt(3)

Perimeter= 20.785 m to 3 dp.

The area is 20.785 m^2 you need to amend your question.