What is diagonals intersecting at a parallogram ?

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In summary, a parallelogram is a four-sided shape with opposite sides parallel to each other and opposite angles that are equal. The diagonals of a parallelogram intersect at their midpoint, creating two equal triangles, and they also bisect each other. If the parallelogram is a rectangle or a rhombus, the diagonals will be perpendicular. However, the diagonals of a parallelogram are different from a rectangle as they bisect each other and may or may not be perpendicular.
  • #1
pugfug90
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What is "diagonals intersecting at a parallogram"?

Homework Statement


The lengths of the diagonals of a parallelogram are 10 ft and 16 ft. Find the lengths of the sides of the parallelogram if the diagonals intersect at an angle of 28 degrees.


Homework Equations


Law of Cosines
Law of Sines
??


The Attempt at a Solution


mimo.gif

http://i80.photobucket.com/albums/j199/pugfug90/mimo.gif
Umm.. Where do I put the 28 degrees?
 
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  • #2
At the smaller of your 2 choices?
 
  • #3
Thanks.. I got it!
 

FAQ: What is diagonals intersecting at a parallogram ?

What is a parallelogram?

A parallelogram is a four-sided shape with opposite sides parallel to each other. It also has opposite angles that are equal.

How do diagonals intersect at a parallelogram?

The diagonals of a parallelogram intersect at their midpoint, creating two equal triangles.

What is the relationship between the diagonals of a parallelogram?

The diagonals of a parallelogram bisect each other, meaning they divide each other into two equal parts.

Can the diagonals of a parallelogram ever be perpendicular?

Yes, if the parallelogram is a rectangle or a rhombus, the diagonals will be perpendicular to each other.

How are the diagonals of a parallelogram different from a rectangle?

The diagonals of a parallelogram bisect each other, while the diagonals of a rectangle are equal in length. Additionally, the diagonals of a rectangle are perpendicular, while the diagonals of a parallelogram may or may not be perpendicular.

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