Question

The Pythagorean Theorem can be used to find the distance between points (3, 2) and (6, 4). Select all the points that could be the third vertex in the
triangle.

(0,0)
(3,4)
(3,6)
(4.5,3)
(6,2)

Answer 1

(3,4) and (6,2) could be vertices of a right triangle with (6,4) and (3,2)

(0,0) is on the same line as (6,4) and (3,2) so it doesn't even form a triangle, much less a right triangle.

(3,6) forms a scalene isosceles triangle, but not a right triangle  It's a 4-sqr13-sqr13 triangle

(4.5,3) also forms an obtuse isosceles triangle, but not a right triangle  It's a sqr13 - sqr3.25 - sqr3.25 triangle