Miguel draws a square on a coordinate plane. One vertex is located at (5,4). The length of each side is 3 units. Circle the letter by all the ordered pairs that could be another vertex. A. (5,1) B. (5,7) C. (7,8) D. (2,6) E. (2,1) I will give brainliest if you answer both questions!

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.