Question

If A(5,p), B(1,5), C(2,1) and D(6,2) are the vertices of a square then -
a) p =7 b) p =3 c) p =6 d) p =8

Answer 1

Answer:

Step-by-step explanation:

BC=$\sqrt{(2-1)^2+(5-1)^2}$

=$\sqrt{17}$

AB=$\sqrt{(5-1)^2+(5-P)^2}$=$\sqrt{17}$

16+25+P^2--10P=17

P^2-10P=17-41

P^2-10P+21=0

P^2-3P-7P+21

P(P-3)+7(P-3)

ANSWER IS P=3