i know how to find diagnols of square, rectangle and rectangular solid, but can some one help me to find diagnol of a parallelogram. it is asked in a question in official guide at page 261 and question numer 11.
thNKS
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- agha79
- Students
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- tommywallach
- Manhattan Prep Staff
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Re: diagnol of a parallelogram
Hey Agha,
They key is to realize that if you drop a height and know that length, you can build a right triangle WITHIN the parallelogram, the hypotenuse of which is the parallelogram's diagonal. In the example you cite, try dropping a height from point B. This now creates a right triangle with height 4 (because they tell you that on the right side of the diagram), and a base of 12. Pythagoras will then solve you to the diagonal.
Make sense?
-t
They key is to realize that if you drop a height and know that length, you can build a right triangle WITHIN the parallelogram, the hypotenuse of which is the parallelogram's diagonal. In the example you cite, try dropping a height from point B. This now creates a right triangle with height 4 (because they tell you that on the right side of the diagram), and a base of 12. Pythagoras will then solve you to the diagonal.
Make sense?
-t
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