Is every triangle with 3 rational angles (in degrees) similar

Santino Bautista

Santino Bautista

Answered question

2022-06-25

Is every triangle with 3 rational angles (in degrees) similar to one with 3 integer-length sides?

Answer & Explanation

Harold Cantrell

Harold Cantrell

Beginner2022-06-26Added 21 answers

No. Consider a triangle with angles 30, 60, 90.
dourtuntellorvl

dourtuntellorvl

Beginner2022-06-27Added 7 answers

Even better, the triangle with angles 45, 45, 90 is the one to have so disappointed the Pythagoreans that its hypotenuse was not rational that, legends say, the discoverer of this fact was murdered!

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