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vrezhimenapleva
@vrezhimenapleva
August 2022
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Гипотенуза MP треугольника MPK равна 8. <K=90, cosМ= = √7/4.Найдите длину катета PK
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zulkarnai
cosM = прилеж. катет / гипотенуза, т.е.
cos M = MK / MP, отсюда MK = cosM * MP = √7/4 * 8 = 2√7
по теореме Пифагора: PK = √(MP² - MK²) = √(64-28) = √36 = 6
Ответ: 6
10 votes
Thanks 20
GAHrad
PK = PM * sin M
sin M =
sin M = √(1 - 7/16)= √9/16=3/4
PK = 8 * 3/4 = 6
3 votes
Thanks 7
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Answers & Comments
cos M = MK / MP, отсюда MK = cosM * MP = √7/4 * 8 = 2√7
по теореме Пифагора: PK = √(MP² - MK²) = √(64-28) = √36 = 6
Ответ: 6
sin M =
sin M = √(1 - 7/16)= √9/16=3/4
PK = 8 * 3/4 = 6