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Консультация № 146016
04.10.2008, 22:05
0.00 руб.
04.10.2008, 22:10
0
1
1
здравствуйте,уважаемые эксперты.помогите пожалуйста решить задачу по геометрии
В трапеции ABCD (BC||AD ) AC перпендикулярно CD, АВ=ВС и угол D= 48градусов и 32минуты. Найти остальные углы трапеции.
В трапеции ABCD (BC||AD ) AC перпендикулярно CD, АВ=ВС и угол D= 48градусов и 32минуты. Найти остальные углы трапеции.
Обсуждение
Неизвестный
06.10.2008, 16:41
общий
это ответ
Здравствуйте, G-buck!
Рассмотрим тр-к ACD. Он прямоугольный. <CAD=180°-90°-48°28'=41°28';
<BCA=<CAD 41°28' как внутренние накрестлежащие(т.к. BC||AD);
<BAC=<BCA=41°28' (т.к. тр-к ABC равнобедренный);
<BAD=<CAD+<BAC=41°28'+41°28'=82°56';
<ABC=180°-<BAC-<CAD=180°-41°28'-41°28'=97°4';
<ACD=90° т.к. AC перпендикулярно CD
<BCD=<BCA+<ACD=90°+41°28'=131°28'.
Ответ: <BAD=82°56'; <ABC=97°4'; <BCD=131°28'.
Приложение:
< - угол
тр-к - треугольник
сумма углов тр-ка равна 180°
'-минуты
Рассмотрим тр-к ACD. Он прямоугольный. <CAD=180°-90°-48°28'=41°28';
<BCA=<CAD 41°28' как внутренние накрестлежащие(т.к. BC||AD);
<BAC=<BCA=41°28' (т.к. тр-к ABC равнобедренный);
<BAD=<CAD+<BAC=41°28'+41°28'=82°56';
<ABC=180°-<BAC-<CAD=180°-41°28'-41°28'=97°4';
<ACD=90° т.к. AC перпендикулярно CD
<BCD=<BCA+<ACD=90°+41°28'=131°28'.
Ответ: <BAD=82°56'; <ABC=97°4'; <BCD=131°28'.
Приложение:
< - угол
тр-к - треугольник
сумма углов тр-ка равна 180°
'-минуты
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