Question

Quadrilateral ABCD is a square and the length of BE¯¯¯¯¯ is 6 cm.

What is the length of AC¯¯¯¯¯ ?



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Answer 1

BE = 6cm
BD = 12 cm
For a square, the diagonal are equal

so :::
AC = BD = 12 cm

Done :)

Answer 2

Answer: AC= 12 cm

Explanation:

Here, ABCD is a square with diagonals AC and BD.

Let E is the intersection point of Diagonals AC and BD.

Since, we know that the lengths of diagonals of a square are same.

Therefore We can say, AC=BD

And we know that,

In the case of square diagonals bisect each other,

That is, BE=ED⇒BD= 2BE.

But, BE= 6 cm (given)

⇒BD=12 cm ⇒AC= 12 cm