Question

True or false, the hypotenuse of a triangle within the unit circle is always equal to the radius of the unit circle.(1 point)
Responses

true
true

false
false

Answer 1

false

The radius of a unit circle is 1, but a triangle inside or inscribed in the unit circle can have a hypotenuse of many lengths (up to the diameter 2). For example, the triangle with vertices (-1,0), (1,0), and (0,1) has hypotenuse length 2, not 1.