Cho tam giác ABC có góc vuông A ; AB = 30cm ; AC = 45cm . M là điểm trên AB sao cho AM = 20cm . Từ M kẻ MN song song với AC sao cho N nằm trên AC . tìm diện tích tam giác AMN
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3:
góc C=90-50=40 độ
Xét ΔABC vuông tại A có sin C=AB/BC
=>4/BC=sin40
=>\(BC\simeq6,22\left(cm\right)\)
\(AC=\sqrt{BC^2-AB^2}\simeq4,76\left(cm\right)\)
1:
góc C=90-60=30 độ
Xét ΔABC vuông tại A có
sin B=AC/BC
=>3/BC=sin60
=>\(BC=\dfrac{3}{sin60}=2\sqrt{3}\left(cm\right)\)
=>\(AB=\dfrac{2\sqrt{3}}{2}=\sqrt{3}\left(cm\right)\)
xét 2 tam giác vuông ABC và tam giác EDF, ta có:
cạnh góc vuông : AB = DE
góc nhọn : ABC = DEF
=> tam giác ABC = tam giác DEF ( cgv - gn )
Lý thuyết : Cạnh góc vuông - góc nhọn: Nếu một cạnh góc vuông và một góc nhọn kề cạnh ấy của tam giác vuông này bằng một cạnh góc vuông và một góc nhọn kề cạnh ấy của tam giác vuông kia thì hai tam giác đó bằng nhau (cgv-gn)
xét 2 tam giác vuông ABC và tam giác EDF, ta có:
cạnh góc vuông : AB = DE
góc nhọn : ABC = DEF
=> tam giác ABC = tam giác DEF ( cgv - gn )
Lý thuyết : Cạnh góc vuông - góc nhọn: Nếu một cạnh góc vuông và một góc nhọn kề cạnh ấy của tam giác vuông này bằng một cạnh góc vuông
và một góc nhọn kề cạnh ấy của tam giác vuông kia thì hai tam giác đó bằng nhau (cgv-gn)
Ta có: <A+<B+<C=180
90+30+<C=180
<c=180-30-90=60
Xét ▲ABC và ▲MNP ta có:
<A=<M=90
<C=<P(=60)
Do đó ▲ABC đồng dạng ▲MNP(g-g)
a: Xét ΔBAE vuông tại A và ΔBHE vuông tại H có
BE chung
góc ABE=góc HBE
=>ΔBAE=ΔBHE
b: Xét ΔEBC có góc EBC=góc ECB
nên ΔEBC cân tại E
mà EH là đường cao
nên H là trung điểm của BC
=>HB=HC
d: Xét ΔEAI vuông tại A và ΔEHC vuông tại H có
EA=EH
góc AEI=góc HEC
=>ΔEAI=ΔEHC
=>EI=EC>EH
Cạnh AC dài \(10:\dfrac{1}{3}=30\left(cm\right)\)
Diện tích ABC là \(\dfrac{1}{2}\times30\times10=150\left(cm\right)\)
S(ABC) = 30 x 45 : 2 = 675 (cm2)
S(ABN) = 2/3 x S(ABC) = 2/3 x 675 = 450 (cm2)
S(AMN) = 2/3 x S(ABN) = 2/3 x 450 = 300 (cm2)
Bài 2: 2 x x - 4,36 : 0,125 = 0,25 x 42,9 - 11,7 x 0,25 + 0,25 x 0,8
<=> 2 x x - 34,88 = 0,25 x (42,9 - 11,7 + 0,8) = 0,25 x 32 = 8
<=> 2 x x = 42,88
<=> x = 21,44
k mk nha
S(ABC) = 30 x 45 : 2 = 675 (cm2)
S(ABN) = 2/3 x S(ABC) = 2/3 x 675 = 450 (cm2)
S(AMN) = 2/3 x S(ABN) = 2/3 x 450 = 300 (cm2)