Micaellathestudentviz
Answered

Using the given information, name the shortest side.
1. In △DEL, angle D=70° and angle L = 72°
2.In △TON, angle T =123° and angle O = 30°


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PeanutButterXviz

[tex] \huge \underline {\boxed {\textsf{\color {lightgreen} {ANSWER:}}}}[/tex]

  • [tex]LE = 38[/tex]
  • [tex]LN = 27[/tex]

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[tex] \sf \large \color{black}{Solution:}[/tex]

[tex] \sf \large \color{black}{No.\:1}[/tex]

GIVEN

  • [tex] < D = 70° \: [/tex]
  • [tex] < L = 72°[/tex]

Find the shortest side,

  • [tex]∆ \: DEL[/tex]
  • [tex] < D + < E + L = 180[/tex]
  • [tex] > O \: + < E + 72 = 180[/tex]
  • [tex] < E = 180 - 142[/tex]
  • [tex] < E = 38[/tex]

Hence, shortest side is [tex]LE = 38[/tex]

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[tex] \sf \large \color{black}{Solution:}[/tex]

[tex] \sf \large \color{black}{No.\:2}[/tex]

GIVEN

  • [tex]< T = 123°[/tex]
  • [tex]< O = 30°[/tex]

Find the shortest side,

  • [tex]∆ \: TON [/tex]
  • [tex] < T + < O \: + < N = 180[/tex]
  • [tex]123 + 30 \: + < N = 180[/tex]
  • [tex] < N = 180 - 153[/tex]
  • [tex] < N = 27[/tex]

Hence, shortest side is [tex]LN = 27[/tex]

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