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Geometry/Opposite Sides in a Square and Rectangle

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Question
help

hello sir


In square all sides are equal because 360/4 is 90 each.
Then in rectangl also asp is same ie asp in 360 degree and angles are 90 degree then why in rectangle opposite sides are equal. If we follow the same rule 360/ 4 = 90 each then in rectangle all sides sholud come equal.

Answer
Hi Aishwaraymeti,

This statement is not true : "In square all sides are equal because 360/4 is 90 each."

The rest of your question actually provides a counterexample: a rectangle.

Although all four angles being 90 degrees does impose some restriction on the lengths of the sides, it does not force them all to have equal measures.

Hope this helps,
Azeem

Geometry

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Azeem Hussain

Expertise

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

Experience

4 years as a drop-in and by-appointment tutor at Champlain College. Private tutor for dozens of clients over the past 8 years.

Publications
CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry

Education/Credentials
Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.

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