My teacher claims that in the Pythagorean Theorem y always is equal to x, unless z is less than 2. Is this true? It goes completely against what the textbook says.
The Pythagorean Theorem says that the sum of the squares of both legs of a right triangle equals the square of the hypoteneuse......
So
x2 + y2 = z2 where x, y are the legs and z is the hypoteneuse.......x and y aren't necessarily the same.....and z has to be less than the sum of x and y (by the Triangle Inequality)
The Pythagorean Theorem says that the sum of the squares of both legs of a right triangle equals the square of the hypoteneuse......
So
x2 + y2 = z2 where x, y are the legs and z is the hypoteneuse.......x and y aren't necessarily the same.....and z has to be less than the sum of x and y (by the Triangle Inequality)