uglyarii5297 uglyarii5297
  • 19-05-2021
  • Mathematics
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A Parallelogram whose vértices have coordinates r(1,-1) s(6,1) t (8,5) u 3,3 have a shorter diagonal

Respuesta :

Cricetus
Cricetus Cricetus
  • 20-05-2021

Answer:

The two shortest diagonals seems to be RU and TS. A further explanation is provided below.

Step-by-step explanation:

The given coordinated are:

r = (1, 1)

s = (6, 1)

t = (8, 5)

u = (3, 3)

Now,

The distance between RU will be:

= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

On putting the values, we get

= [tex]\sqrt{(3-1)^2+(3+1)^2}[/tex]

= [tex]\sqrt{(2)^2+(4)^2}[/tex]

= [tex]\sqrt{4+16}[/tex]

= [tex]\sqrt{20}[/tex]

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