Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Examine whether the following points taken in order form a square. (12, 9), (20, - 6), (5, - 14) and ( - 3, 1)

Examine whether the following points taken in order form a square. (12, 9), (20, - 6), (5, - 14) and ( - 3, 1)

Answers (1)

best_answer

we;will;measure;the;distance;between;adjacent;points;and;if\*distance;is;equal;then;points;are;in;order.\* Let;us;consider;the;given;points; ;as; A(12,9),;B(20,-6),;C(5,-14),;D(-3,1)\* The;distance;AB=sqrt(12-20)^2+(9+6)^2=sqrt64+225=sqrt289=17\* The;distance;BC=sqrt(20-5)^2+(-6+14)^2=sqrt225+64=sqrt289= 17\*The;distance;CD=sqrt(5+3)^2+(-14-1)^2=sqrt64+225= sqrt289=17\*The;distance;DA=sqrt(-3-12)^2+(1-9)^2=sqrt225+64=sqrt289 =17\*Now;distance;of;diagonals\* The;diatance;AC=sqrt(12-5)^2+(9+14)^2=sqrt49+529=sqrt578\* The;diatance;BD=sqrt(20+3)^2+(-6-1)^2=sqrt529+49=sqrt578\* So,;AB=BC=CD=DA;and;also;AC=BD\*Hence,;it;is;a;square\*;and;given;points;are;in;order

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question