Ta có:
\(\widehat{A}=180^o-60^o-45^o=75^o\)(tổng 3 góc trong tam giác)
Kẻ đường cao AH
\(sin60=\dfrac{AH}{AB}\)
\(\Rightarrow AH=sin60.4=2\sqrt{3}\)
\(sin45=\dfrac{AH}{AC}\)
\(\Rightarrow AC=\dfrac{2\sqrt{3}}{sin45}=2\sqrt{6}\)
\(BC=\sqrt{4^2-\left(2\sqrt{3}\right)^2}+\sqrt{\left(2\sqrt{6}\right)^2-\left(2\sqrt{3}\right)^2}=2+2\sqrt{3}\)
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