Question

ind the length of the longest side of the rectangle whose vertices are given. A(2, 1), B(5, 4), C(0, 3), D(3, 6) 2 rad2 3 rad2 rad26

Answer 1

Distance between A and B

= Distance between C and D

= sqrt((4 - 1)^2 + (5 - 2)^2)

= sqrt(3^2 + 3^2)

= sqrt(2 * 3^2)

= sqrt(3^2) * sqrt(2)

= 3sqrt(2)

Distance between B and C

= Distance between A and D

= sqrt((4 - 3)^2 + (5 - 0)^2)

= sqrt(1^2 + 5^2)

= sqrt(26)

Since sqrt(26) is more than 3sqrt(2), the length must be sqrt(26).

Hope this helps you.