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1 year ago

In parallelogram ABCD, diagonals AC and BD intersect at point E, AE = x^2 - 12, and CE = 4x What is AC?

Mathematics

1 answer:

Thepotemich [5.8K]1 year ago

6 0

The length of the AC is x^2 + 4x - 12.

<h3>What is a parallelogram?</h3>

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given :

In Parallelogram ABCD, diagonals AC and BD intersect at point E.

such that

AE = x^2 - 12,

CE = 4x

We know that the diagonal of a parallelogram bisect each other.

x^2 - 12 = 4x

x^2 - 4x - 12= 0

(x-6)(x-2) = 0

Hence, the value of x = 6, 2.

AC = AE + CE = x^2 + 4x - 12.

The length of the AC is x^2 + 4x - 12.

Learn more about Parallelogram ;

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