Question

show that (1,7),(4,2),(-1,-1),(-4,4) are the vertices of square.​

Answer 1

Let the vertices are

M(1,7),N(4,2)

R(−1,−1),Q(−4,4)

MN=

(1−4)

2

+(7−2)

2

=

9+25

=

34

NR=

(4+1)

2

+(2+1)

2

=

25+9

=

34

RQ=

(−1+4)

2

+(−1−4)

2

=

34

MQ=

(1+4)

2

+(7−4)

2

=

34

all sides are equal, Hence MNRQ is a square

P(2,P) is midpoint of

A(6,−5),B(−2,11)

P=

2

−5+11

p=3

Answer 2

Step-by-step explanation:

Answer:

$answer \sqrt{34}$