cvtilin
contestada

Find the length of a diagonal of the rectangle ABCD with vertices A (-3,1), B (-1,3), C (3,-1), and D (1,-3).

•5.7
•6.3
•3.2
•4.5

Find the length of a diagonal of the rectangle ABCD with vertices A 31 B 13 C 31 and D 13 57 63 32 45 class=

Respuesta :

We can choose : A ( -3, 1 ) and C ( 3, - 1 ).
So AC is a diagonal of the rectangle ABCD; 
The formula for a distance between two points:
 [tex]d = \sqrt{( x_{2}- x_{1}) ^{2} +(y _{2} -y _{1} ) ^{2} } \\ d(AC)= \sqrt{(-3-3)^{2} +(-1-1) ^{2} } = \\ = \sqrt{36+4} =[/tex]
=√40 = 6.32455 ≈ 6.3
Answer:  B )  6.3

Answer:

6.3

Step-by-step explanation: