Are these coordinates forming right triangles?
it’s good that you recognise the pythagorean result The first one definitely is a right triangle since if A(3, -2) , B(3, 4) C(5, -2) B(3, 4) is directly above A(3, -2) and A(3, -2) is directly to the left of C(5, – 2) So angle CAB is a right angle The problem you might have had is their distances are often long to compute and they hypotenuse hard to identify. √² AB = √( (3 – 3)² + (-2 – 4)² ) = 6 AC = √( ( 3 – 5)² + (-2 –2)² ) = 2 CB = √( ( 5 – 3)² + (-2 – 4)²) = √40 This shows that pythagoras holds with CB being the hypotenuse. 2.
