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What is the length of segment AB
A) 3
B) [tex]\sqrt{20}[/tex]
C) [tex]\sqrt{41}[/tex]
D) 9

What Is The Length Of Segment AB A 3 B Texsqrt20tex C Texsqrt41tex D 9 class=

Sagot :

Answer: [tex]\large \boldsymbol {C) \ AB=\sqrt{41} }[/tex]

Step-by-step explanation:

  • The formula for the distance between points:
  • [tex]\bf AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]  
  • Coordinates of point A (0;5 ); coordinates of point B(4;0)
  • [tex]\bf AB= \sqrt{(0-4)^2+(5-0)^2} =\sqrt{16+25} =\sqrt{41}[/tex]