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Рыжик314
@Рыжик314
August 2021
1
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Катет прямоугольного треугольника равен 48 см, а тангенс противолежащего угла равен 3целых 3/7. Найдите второй катет и гипотенузу треугольника
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dxo17a
Verified answer
ABC ( ygol C=90 gradusov)
AC=48 cm
tgB=3 3/7
RESHENIE:
tgB=AC:CB
3 3/7=48:CB
CB=14 cm
Po teoreme Pifagora:
AB^2=AC^2+CB^2
AB^2=(48)^2+(14)^2
AB^2=2304+196
AB^2=2500
AB= 50 cm
OTVET: 14 cm, 50 cm
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Answers & Comments
Verified answer
ABC ( ygol C=90 gradusov)AC=48 cm
tgB=3 3/7
RESHENIE:
tgB=AC:CB
3 3/7=48:CB
CB=14 cm
Po teoreme Pifagora:
AB^2=AC^2+CB^2
AB^2=(48)^2+(14)^2
AB^2=2304+196
AB^2=2500
AB= 50 cm
OTVET: 14 cm, 50 cm