Pertanyaan

Garis 2x + y - 5 = 0 merupakan bidang alas proyeksi titik B(0, 3). Maka panjang garis proyeksi titik B ke garis tersebut adalah. : ..

H. Mahmud

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Pembahasan

Diketahui: B(0, 3) didapat x 1 = 0, y 1 = 3; 2x + y - 5 didapat a = 2, b = 1, c = -5 diperoleh Panjang proyeksi = Panjang proyeksi = Panjang proyeksi = Panjang proyeksi = cm

Diketahui: B(0, 3) didapat x₁ = 0, y₁ = 3; 2x + y - 5 didapat a = 2, b = 1, c = -5 diperoleh

Panjang proyeksi = $begin mathsize 14px style open vertical bar fraction numerator ax subscript 1 plus by subscript 1 plus straight c over denominator square root of straight a squared plus straight b squared end root end fraction close vertical bar end style$

Panjang proyeksi = $begin mathsize 14px style open vertical bar fraction numerator 2.0 plus 1.3 minus 5 over denominator square root of 2 squared plus 1 squared end root end fraction close vertical bar end style$

Panjang proyeksi = $begin mathsize 14px style open vertical bar fraction numerator 0 minus 1.3 plus 5 over denominator square root of 5 end fraction close vertical bar end style$

Panjang proyeksi = $begin mathsize 14px style open vertical bar fraction numerator 2 over denominator square root of 5 end fraction close vertical bar equals fraction numerator 2 over denominator square root of 5 end fraction. fraction numerator square root of 5 over denominator square root of 5 end fraction equals 2 over 5 square root of 5 end style$ cm