Use the pythagorean theorem to prove that the point (√2/2, √2/2) lies on the unit circle. i need setup, explination, answer

In brief, apply the pythagorean theorem to show that the distance between the point and the origin is .

Step-by-step explanation:

The pythagorean theorem can give the distance between two points on a plane if their coordinates are known.

A point is on a circle if its distance from the center of the circle is the same as the radius of the circle.

On a cartesian plane, the unit circle is a circle  

Therefore, to show that the point is on the unit circle, show that the distance between and equals to .

What's the distance between and ?

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By the pythagorean theorem, the distance between and the center of the unit circle, , is the same as the radius of the unit circle, . As a result, the point is on the unit circle.

associative property of multiplication