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galimova00001
@galimova00001
July 2022
1
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Помогите плизииии пожалуйста подобные треугольники
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Kазак
K - коэффициент подобия
10
k² = S(ABC)/S(A₁B₁C₁) = 32/50 = 16/25
k = √(16/25) = 4/5
k = AB/A₁B₁ = 4/x = 4/5
4/x = 4/5
x = 5 см
11
k² = S(MTN)/S(M₁T₁N₁) = 75/225 = 1/3
k = √(1/3) = 1/√3
k = MT/M₁T₁ = x/9 = 1/√3
x/9 = 1/√3
x = 9/√3 = 3√3 м
12
k = MN/FE = 7/6
k² = S(NMC)/S(FER) = (7/6)² = 49/36
S(NMC) = 49/36*S(FER)
S(NMC) - S(FER) = 26
49/36*S(FER) - S(FER) = 26
(49/36-1)*S(FER) = 26
13/36*S(FER) = 26
S(FER) = 2*36 = 72
S(NMC) = 49/36*S(FER) = 49/36*72 = 49*2 = 98
2 votes
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Answers & Comments
10
k² = S(ABC)/S(A₁B₁C₁) = 32/50 = 16/25
k = √(16/25) = 4/5
k = AB/A₁B₁ = 4/x = 4/5
4/x = 4/5
x = 5 см
11
k² = S(MTN)/S(M₁T₁N₁) = 75/225 = 1/3
k = √(1/3) = 1/√3
k = MT/M₁T₁ = x/9 = 1/√3
x/9 = 1/√3
x = 9/√3 = 3√3 м
12
k = MN/FE = 7/6
k² = S(NMC)/S(FER) = (7/6)² = 49/36
S(NMC) = 49/36*S(FER)
S(NMC) - S(FER) = 26
49/36*S(FER) - S(FER) = 26
(49/36-1)*S(FER) = 26
13/36*S(FER) = 26
S(FER) = 2*36 = 72
S(NMC) = 49/36*S(FER) = 49/36*72 = 49*2 = 98