Geometry proof

Prove either that there are infinitely or finitely many(if finitely many, specify how many) distinct quadrilaterals with distinct ,real, nonzero, side lengths w,x,y,z. I have a proof that there are infinitely many, but I am not sure how rigorous/ valid it is.

Note:Some people may think that there is only one such quadrilateral. This is what I thought originally. But then why do we need 4 sides and two angles to find the area of an arbitrary quadrilateral?

#Geometry

Easy Math Editor

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Comments

What are distinct critery , because if you have the quadrilateral sides ie. ( 1 , 2 ,3 ,4 ) angles any , and you multiply each side by a real number you will get infinites quadrilaterals.

jordi curto - 1 year, 2 months ago

No, the sides have to be kept the same. You cannot multiply each side by a factor.

aaryan vaishya - 1 year, 2 months ago

OK . then you can change angles keeping condition A+B+C+D = 360ª

ie : if you change any angle betwin 40º and 50º you can get infinite angles of 40 + 10/ R with R a Real number as big as you want , and other angles change acording of that.

jordi curto - 1 year, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$