Pythoream Theorem
- Thread starter lexii44
- Start date
I need help with the Pythoream Theorem
A^2+B^2=C^2
I need to find A
A^2+35^2=41^2
A^2+1225=1681
A^2=?456
A=21.35
Am I doing this right?
Yes, all is correct, if you are not seeking integer answers.
Pythagorean Right Triangles with integer sides derive from the following.
For any primitive Pythagorean Triple right triangle with sides x, y, and z, z being the hypotenuse, the lengths of the three sides of the triangle can be derived as follows: x = k(m^2 - n^2), y = k(2mn), and z = k(m^2 + n^2) where k = 1 for primitive triangles (x, y, and z having no common factor), m and n are arbitrarily selected integers, one odd, one even, usually called generating numbers, with m greater than n.
If one of the given numbers is wrong, you could have 9-40-41 sides or 12-35-37 sides.
There are other formulas that do not derive all Pythagorean Triples.
A^2+B^2=C^2
I need to find A
A^2+35^2=41^2
A^2+1225=1681
A^2=?456
A=21.35
Am I doing this right?
Yes, all is correct, if you are not seeking integer answers.
Pythagorean Right Triangles with integer sides derive from the following.
For any primitive Pythagorean Triple right triangle with sides x, y, and z, z being the hypotenuse, the lengths of the three sides of the triangle can be derived as follows: x = k(m^2 - n^2), y = k(2mn), and z = k(m^2 + n^2) where k = 1 for primitive triangles (x, y, and z having no common factor), m and n are arbitrarily selected integers, one odd, one even, usually called generating numbers, with m greater than n.
If one of the given numbers is wrong, you could have 9-40-41 sides or 12-35-37 sides.
There are other formulas that do not derive all Pythagorean Triples.
I guess you are right. I'm thinking that if you solve a quadratic by extracting the square roots of both sides of the equation you will encounter positive and negative roots. You then consider whether or not the negative sign applies. If your problem is one where the negative sign does not apply, such as the length of the side of a triangle, then the negative root is rejected.