Question

If the length of median of equilateral triangle is x,then find its area

Answer 1

Let the side be S

if the midean is x

Then the area will be 1/2*S*x

Because in equilateral triangles a median = the altitude

Answer 2

Answer:

Hey mate!! here is the answer...

Step-by-step explanation:

Area of equalateral triangle = √3s^2 / 4

But here if hight is given,

Then, Area = 1/2 * h * b

= x/2 * b

let the base be s,

Then, √3s^2 / 4 = x/2 * s

Squaring both side,

=> (√3s^2/4)^2 = (x/2)^2 *s^2

=> 3s^4/16 = x^2/4 *s^2

let s^2 be y,

Then,

=> 3y^2/16 = x^2/4* y

=>3y^2* 4 = x^2*y*16

=>12y^2 = 16x^2y

=>3y^2 = 4x^2y

=>3y = 4x^2

=>y = 4x^2/3

Then, side x side = 4x^2/3

s = 2x/√3

Area = 1/2 * x * 2x/√3

= 2x^2/2√3

= x^2/√3 ✔

hope it helps u .......... ; )

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