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madhukumari2626 Group Title

in triangle ABC BD is perpendicularAC and CE perpendicular AB if BD and CE intersect at O prove that angle BOC = 180 _BAC

  • one year ago
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  1. Krishnadas Group Title
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    opposite sides of a quadrilateral are supplementary

    • one year ago
  2. Krishnadas Group Title
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    |dw:1374652155215:dw|

    • one year ago
  3. theEric Group Title
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    |dw:1374652603874:dw|

    • one year ago
  4. campbell_st Group Title
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    this is what is missing |dw:1374652805954:dw| Angle OEA and Angle ODA are both 90 so they sum to 180. by angle sum of a quadrilateral EAD + EOD = 180 or are supplementary

    • one year ago
  5. campbell_st Group Title
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    the quadrilateral is DOEA so EAD + EOD = 360 - 180

    • one year ago
  6. campbell_st Group Title
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    the fact they are perpendicular are given to you in the question

    • one year ago
  7. theEric Group Title
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    And that makes EAD + EOD = 180, as Krishnadas posted.

    • one year ago
  8. campbell_st Group Title
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    yep... the initial statement about opposite sides being supplementary makes no sense. by if you show the right angles on the perpendiculars then it makes it easy to understand that EAD and EOD are supplementary

    • one year ago
  9. theEric Group Title
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    Right!

    • one year ago
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