szweers0 szweers0
  • 14-01-2024
  • Mathematics
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work out the length of ag in the cuboid below. give your answer to 2dp

work out the length of ag in the cuboid below give your answer to 2dp class=

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karmenchong karmenchong
  • 14-01-2024

Answer:

126.58 cm

Step-by-step explanation:

ΔACD (right triangle at D):

AC² = AD² + CD²

      = 33² + 21²

      = 1530

AC = √1530 cm

ΔACG (right triangle at C):

[tex]cos72^o=\frac{AC}{AG}[/tex]

[tex]AG=\frac{AC}{cos72^o}[/tex]

      [tex]=\frac{\sqrt{1530} }{0.309}[/tex]

      [tex]=126.58\ cm[/tex]

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