Matematik opg 538-542


Indholdsfortegnelse

Opg. 538

  • <Babc = 70
  • <Aabc = 40
  • <Cabc = 70
  • <Aabd = 180-40 = 140
  • <Dabd = <Babd = (180-140)/2 = 20
  • <Cbce = 180-70 = 110
  • <Ebce = <Bbce = (180-110)/2 = 35


  • <Dbde = <Dabd = 20
  • <Bbde = <Babd + <Bbce + <Babc = 20 + 35 + 70 = 125
  • <Ebde = <Ebce = 35

Opg. 539

  1. PQS = 180
  2. PQ = 72
  3. <PRQ = (360-(90+90+72)) = 108
  4. <PSQ = (180-(180-72))/2 = 36
  5. SQ = (180-72) = 108
  6. <OQS = <PSQ = 36
  7. <SQT = <PSQ + 90 = 126
  8. SPQ = 180 + 72 = 152

Opg. 540

  • <Aabc = 36
  • <Babc = (180-36)/2 = 72
  • <Bbka = 72/2 = 36

(bka er ligbenet derfor er |BK| = |AK|)

Opg. 541

Opg. 542

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