alexavocado
alexavocado alexavocado
  • 31-07-2020
  • Mathematics
contestada

ABCD is a rectangle. What is the value of x?
А
63 m
B
165 m
x m
C
A) 2 meters
B) 16 meters
C) 63 meters
D) 65 meters

ABCD is a rectangle What is the value of x А 63 m B 165 m x m C A 2 meters B 16 meters C 63 meters D 65 meters class=

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ChillMuse
ChillMuse ChillMuse
  • 31-07-2020

[tex]AC^{2} = AB^{2} + BC^{2}[/tex] (Pythagorean theorem)

[tex]65^{2} = 63^{2} + x^{2} \\[/tex]

4225 = 3969 + [tex]x^{2}[/tex]

[tex]x^{2} = 4225 - 3969[/tex]

[tex]x^{2} = 256[/tex]

x = [tex]\sqrt{256}[/tex]

x = 16 meters

B) 16 meters

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