Math, asked by TbiaSupreme, 1 year ago

Show that the points (1, 7), (4, 2), (−1, −1) and (−4, 4) are the vertices of a square.

Answers

Answered by anr4u97
14

since these r sides of a square lengths of all sides must be equal

So calculate distance between each and every point .If all the distances r equal then these points will be sides of a square

Answered by sharikhzeba1
80

Answer:

Given points are (1,7),(4,2),(-1,-1),(-4,4)

Let the points are A,B,C,D.

Distance formula = √(x₂-x₁)²+(y₂-y₁)²

                   AB = √(4-1)²+(2-7)²

                         = √9+25

                         = √34

                    BC = √(-1-4)²+(-1-2)²

                          = √25+9

                          =  √34

                     CD = √(-4-(-1))²+(4-(-1))²

                           = √9+25

                           =  √34

                      DA = √(1-(-4))²+(7-4)²

                            = √25+9

                            = √34

PLS MAKE ME BRAINLIEST AND GIVE ME 5 STARS.

Step-by-step explanation:

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