PROVE  that medians of an equilateral triangle are equal

i didnt understand this pls explain

Consider an equilateral ΔABC. Let AD, BE and CF be the medians of BC, AC and AB respectively.

We know that in an equilateral Δ, medians are altitudes as well.

Let AB = BC = AC =x[say]

In right ΔABD, by pythagoras theorem,

AB²= AD²+ BD²

In right ΔBEC,

BC²= BE²+ CE²

Similarly, we can show that CF =.

Thus, AD = BE = CF.

hence proved

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Consider an equilateral ΔABC. Let AD, BE and CF be the medians of BC, AC and AB respectively.

We know that in an equilateral Δ, medians are altitudes as well.

Let AB = BC = AC =x[say]

In right ΔABD, by pythagoras theorem,

AB²= AD²+ BD²

In right ΔBEC,

BC²= BE²+ CE²

Similarly, we can show that CF =.

Thus, AD = BE = CF.

hence proved