Question

In parallelogram ABCD AM⊥CD and AN⊥BC if AM =8 AB =12 AND AD,=16 find AN
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Answer 1

In a parallelogram, opposite sides are equal in length.

• Since AM is perpendicular to CD and AN is perpendicular to BC, and AM = 8 and AB = 12, it follows that AN = CD = AB = 12.

• A parallelogram is a geometric shape that is defined by four lines (or sides) and four angles. It is a quadrilateral, meaning it has four sides. The opposite sides of a parallelogram are equal in length and parallel to each other. Additionally, opposite angles in a parallelogram are equal in measure.

• One way to think of a parallelogram is as a rectangle that has been "tilted" so that its opposite sides are no longer at right angles to each other. This means that the opposite sides of a parallelogram can be of different lengths, unlike a rectangle where all four sides are of the same length.

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