Simple Triangle/rectangle problem

  • Context: High School 
  • Thread starter Thread starter letmedanz
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SUMMARY

The discussion centers around the geometric properties of rectangles and right triangles, specifically regarding the relationship between the diagonal and the dimensions of a rectangle. It is established that knowing only the length of the diagonal (20 inches) is insufficient to determine the exact length and breadth of a rectangle, as multiple combinations can yield the same diagonal length. Additionally, the forum participants confirm that two right triangles with the same diagonal are not necessarily congruent, as congruence requires more specific information about the sides and angles, in accordance with the Pythagorean theorem.

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  • Understanding of basic geometry concepts
  • Familiarity with the Pythagorean theorem
  • Knowledge of properties of rectangles and triangles
  • Ability to differentiate between congruence and similarity in triangles
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  • Study the Pythagorean theorem in detail
  • Explore the properties of rectangles and their diagonals
  • Learn about triangle congruence criteria
  • Investigate geometric proofs involving right triangles
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Students of geometry, educators teaching mathematical concepts, and anyone interested in understanding the relationships between geometric shapes and their properties.

letmedanz
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hi people,

got a simple question here..
assuming it is simple it seems so... but has been a long time since geometry, so looking for help :)

assuming only the length of a diagonal of a rectangle is known (say 20"), is it possible to find the length & breadth..?

stating to be a rectangle, as there is no clarity if this is a square or not...

any help will be appreciated!
 
Physics news on Phys.org
does the diagonal length of a piece of paper determine the exact size of the paper?

are two right triangles congruent if they have the same diagonal? I.e. does one side and one angle determine a triangle?

do you know pythagoras theorem?
 

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