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Pharaonua
Pharaonua
03.10.2022 13:26 •  Геометрия

Сторону основи і висоту правильної чотирикутної піраміди зменшили у 2 рази при цьому площа бічної поверхні піраміди зменшиться у
Варианты 2 , 4 и 8 раз

👇
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Ответ:
Svet97
Svet97
03.10.2022

Доказано // Удачи ;D

Объяснение:

Сделаем это задание за Теоремой про  равность треугольников

Мы знаем что ab = ad тогда треугольник abd -  равнобедренный треугольник  и также треугольник bdc равнобедренный треугольник

Тогда за третей ознакой равенства:

1. AB = AD

2. BC = CD

3. сторона AC - общая.

Значит, ∠BAO = ∠DAO

Тогда За 1 признаку докажем что эти треугольники равны, так как мы нашли что углы равны

( Если две стороны и угол между ними одного треугольника соответственно равны двум сторонам и углу между ними другого треугольника, то такие треугольники равны. )

 AB = AD  AO - общая

∠BAO = ∠DAO  за 3 ознакой. С этого ΔABO = ΔADO

Из равенства ΔABO и ΔADO вытекает равенство углов ∠BOA и ∠DOA.  поэтому ∠BOA = ∠DOA = 90°. Следовательно AC⊥BD

И этим мы доказали что O - середина BD

                                                                                 Доказано // Удачи ;D

4,5(38 оценок)
Ответ:
JonHenryEdem1
JonHenryEdem1
03.10.2022

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4,4(37 оценок)
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