true or false, the hypotenuse of a triangle within the unit circle is always equal to the radius of the unit circle.
true
false
True.
In the context of a unit circle (a circle with a radius of 1), any triangle inscribed within the circle that has one vertex at the center of the circle and its opposite side (the hypotenuse) on the circumference of the circle will have that hypotenuse equal to the radius of the unit circle, which is 1. This is because the hypotenuse extends from the center of the circle to a point on the circumference, thus by definition, it is the radius of the circle.