Given: (2,1) and (2,4) are the coordinates of two vertices of a right triangle
A. What are two possibilities for the 3rd point that results in a right triangle with side lengths 3, 4, 5?
B. Sketch both triangles on the grid

A) OPTION 1   (6,1)

   OPTION 2  (-2,1)

B) I've attached the picture below with the name jt

Step-by-step explanation:

center= (-2,0)

radius= sqrt2/2

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47