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cvtilin
cvtilin cvtilin
  • 25-01-2017
  • Mathematics
Answered

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 (-3,1), B (-1,3), C (3,-1), and D (1,-3). 5.7 6.3 3.2 4.5 class=

Verified Answer :

HomertheGenius
HomertheGenius HomertheGenius
  • 01-02-2017

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:
 \(d = \sqrt{( x_{2}- x_{1}) ^{2} +(y _{2} -y _{1} ) ^{2} } \\ d(AC)= \sqrt{(-3-3)^{2} +(-1-1) ^{2} } = \\ = \sqrt{36+4} =\)
=√40 = 6.32455 ≈ 6.3
Answer:  B )  6.3

Answer Link
netlarue98
netlarue98 netlarue98
  • 14-12-2021

Answer:

6.3

Step-by-step explanation:

Answer Link

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