KSGC123
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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

Respuesta :

Answer:

D. [tex]\sqrt{65}[/tex]

Step-by-step 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

[tex]= (x_2 - x_1)^2 + (y_2 - y_1)^2\\\\= (9 -2)^2 + (8 - 4)^2\\\\= (7)^2 + (4)^2[/tex]

[tex]= \sqrt{49 + 16}\\\\= \sqrt{65}[/tex]

Therefore correct option is D.

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