Question

The coordinates of the vertices for rectangle ABCD are A (2,4), B (6,10), C (9,8) and D (5,2). What

is the length of a diagonal (AC or BD) of the rectangle?

A √13

B √52

C √60

D √65

Answer 1

D.
`√(65)`

Explanation:

The computation of the length of a diagonal (AC or BD) of the rectangle is shown below:

As we know that

The Diagonal length of AC is

`= (x_2 - x_1)^2 + (y_2 - y_1)^2\\\\= (9 -2)^2 + (8 - 4)^2\\\\= (7)^2 + (4)^2`

`= √(49 + 16)\\\\= √(65)`

Therefore correct option is D.