fermat

From: ben ito (benito20044_at_yahoo-dot-com.no-spam.invalid)
Date: 11/23/04

Date: 23 Nov 2004 14:29:38 -0600

> The angles are between 90<A<60.

Now that I check back, I see you do always say 90 < X < 60.

Of course that's impossible, but I guess you mean 60 < A < 90.

OK.

Consider the isoceles triangle with two sides equal to 4 and the third
side equal to 5:

X = 4, Y = 4, Z = 5; the angle A is opposite the longest side.

5^2 = 4^2 + 4^2 - 2 * 4 * 4 * cos A

25 = 16 + 16 - 32 cos A

cos A = 7 / 32

A is approximately 77.36437490697888108571 degrees, which is less than
90 degrees and greater than 60 degrees.

2 X Y cos A = 7

+ - - - peter

Options
====================================
Since A is approximately 77.36437490697888108571 degrees then

2 X Y cos A = 7

is also approximately 7; therefore, 2XYcos(A) is not an integer since
an integer is an exact value.

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