Respuesta :
Answer:
(b) 68
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Diagonal:
Diagonals are a line between opposite points in a square.
In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So
[tex]D = \sqrt{(5-0)^2+(3-0)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}[/tex]
Then sum of the squares of its both diagonals is units
Both diagonals measure [tex]\sqrt{34}[/tex]. Sum of squares is:
[tex](\sqrt{34})^2 + (\sqrt{34})^2 = 34 + 34 = 68[/tex]
The correct answer is given by option b.
