Current location - Training Enrollment Network - Mathematics courses - Mathematical Pythagorean Theorem 45 degrees angle 45 90 1 to1to root number two and 30 60 90 to root number three to two. The teacher said that proof was needed and could not be used directly.
Mathematical Pythagorean Theorem 45 degrees angle 45 90 1 to1to root number two and 30 60 90 to root number three to two. The teacher said that proof was needed and could not be used directly.
In a right triangle of 45 45 90, let the right side be A and the hypotenuse be B.

According to Pythagorean Theorem A? +a? =b? When a= 1 and b= root number two, the known edge data is directly brought into the calculation when doing the problem.

In a right-angled triangle of 30 60 90, let the right-angled side of 30 be A, the hypotenuse be B and the other right-angled side be C.

∵Rt△ The right angle side opposite to the 30 angle is half of the hypotenuse.

∴2a=b

According to Pythagorean Theorem A? +c? =4a? When a= 1, b=2 c= root number three.