Matematika

Pertanyaan

perhatikan gambar disamping.Panjang AD =. A. 2 cm
B.2√2 cm
C.4 cm
D.4√2 cm
perhatikan gambar disamping.Panjang AD =.                      A. 2 cm B.2√2 cm C.4 cm D.4√2 cm

1 Jawaban

  • [tex]sin60^{o}= \frac{AB}{AC} \\ \frac{ \sqrt{3} }{2} = \frac{2 \sqrt{3} cm }{AC} \\ \sqrt{3} \times AC=2 \sqrt{3} cm \times 2 \\ AC= \frac{2 \sqrt{3} cm\times 2}{ \sqrt{3} } \\ AC =4 cm[/tex]
    sehingga,
    [tex]cos45^{o}= \frac{AD}{AC} \\ \frac{ \sqrt{2} }{2} = \frac{AD}{4cm} \\ \sqrt{2} \times 4 cm = AD \times 2 \\ \frac{4 \sqrt{2} cm}{2} = AD \\ 2 \sqrt{2} cm = AD\\[/tex]
    Jadi jawabannya B :)