what type of special right triangle drawn inside the unit circle intersects the unit circle at (2squared over 2, 2squared over 2)?
a 30-60-90 triangle with the 60 degree angle at the origin
a 45-45-90 triangle
an equilateral triangle
a 30-60-90 triangle with the 30 degree angle at the origin
The point you've described, (2squared over 2, 2squared over 2), seems to be trying to represent the point (√2/2, √2/2). This point on the unit circle corresponds to an angle of 45 degrees (or π/4 radians) from the positive x-axis because the x and y coordinates are equal, which means the triangle formed by the origin, this point, and the point where the perpendicular from this point intersects the x-axis creates an isosceles right triangle.
The angles in an isosceles right triangle are 45 degrees, 45 degrees, and 90 degrees. Therefore, the correct answer is:
b) a 45-45-90 triangle