Tính sai số của các phép dựng sau:
a) Dựng góc 72o bằng cách dựng góc nhọn của tam giác vuông có cạnh góc vuông bằng 1cm và 3cm.
b) Dựng góc 20o bằng cách dựng góc ở đỉnh của tam giác cân có đáy 2cm, cạnh bên bằng 6cm
K
Khách
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Những câu hỏi liên quan
17 tháng 11 2023
a: Xét ΔABC vuông tại A có AH là đường cao
nên \(AH^2=HB\cdot HC\)
=>\(AH^2=1\cdot4=4\)
=>\(AH=\sqrt{4}=2\left(cm\right)\)
BC=BH+CH
=>BC=1+4=5(cm)
XétΔABC vuông tại A có AH là đường cao
nên \(\left\{{}\begin{matrix}AB^2=BH\cdot BC\\AC^2=CH\cdot CB\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}AB^2=1\cdot5=5\\AC^2=4\cdot5=20\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}AB=\sqrt{5}\left(cm\right)\\AC=2\sqrt{5}\left(cm\right)\end{matrix}\right.\)
Xét ΔABC vuông tại A có \(sinC=\dfrac{AB}{BC}=\dfrac{\sqrt{5}}{5}\)
nên \(\widehat{C}\simeq27^0\)
ΔABC vuông tại A
=>\(\widehat{B}+\widehat{C}=90^0\)
=>\(\widehat{B}=90^0-27^0=63^0\)
b: AH=2cm
=>H thuộc (A;2cm)
Xét (A;2cm) có
AH là bán kính
BC\(\perp\)AH tại H
Do đó: BC là tiếp tuyến của (A;2cm)
c: Sửa đề: BDEH
Xét ΔAHB vuông tại H và ΔADE vuông tại D có
AH=AD
\(\widehat{HAB}=\widehat{DAE}\)
Do đó: ΔAHB=ΔADE
=>HB=DE
Xét tứ giác BDEH có
BH//ED
BH=ED
Do đó: BDEH là hình bình hành
CM
1 tháng 8 2017
Gọi S là diện tích của tam giác ABC.
Hình vuông có cạnh AB được chia thành hai tam giác vuông cân bằng △ ABC nên diện tích hình vuông cạnh AB bằng 2S.
Hình vuông có cạnh AC được chia thành hai tam giác vuông cân bằng △ ABC nên diện tích hình vuông cạnh AC bằng 2S.
Hình vuông cạnh BC được chia thành bốn hình tam giác vuông cân bằng △ ABC nên có diện tích bằng 4S.
Vì 4S = 2S + 2S nên diện tích hình vuông dựng trên cạnh huyền bằng tổng diện tích hai hình vuông dựng trên hai cạnh góc vuông.
15 tháng 6 2022
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