False.
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Yes, the Pythagorean theorem gives the exact measurements always. It can be backed up by proofs and sin, cosine, etc.
Pythagoras theorem will always work with a right-angled triangle.
The easy answer: Yes. To go in depth, the pythagorean theorem is a^2+b^2=c^2. C is always the longest side, or hypotenuse, so you would replace c with 40. A and B can be in any order, so let's replace a with 24 and b with 32. A Squared=24 Squared=576 B Squared=32 Squared=1024 C Squared=40 Squared=1600 Now to test it: 576+1024=1600 1600=1600 So yes, it is a pythagorean triple. * * * * * There is a simpler method. 3-4-5 is a well known Pythagorean triple. Therefore, any multiple of the triple is also a Pythagorean triple. 24-32-40 are 8 times the corresponding numbers and so they form a Pythagorean triple.
Every circular object, item, drawing will always be aligned with Pi - it will never change
In any Pythagorean triple, the square of the two shortest sides is equal to the square of the longest side. For example, 32+42=52. Since it is impossible to have a right-angled triangle with a side of 1, it is impossible for two sides of a right-angled triangle to be of the same length.Therefore, a Pythagorean triple will always contain three differently-sized sides.