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Perhatikan gambar berikut! Diketahui segitiga ABC siku-siku di B . cos ∠ A CB = 10 8 , tan ∠ A D B = 1 . Panjang sisi AD adalah...

Perhatikan gambar berikut!

Diketahui segitiga ABC siku-siku di B. $cos ∠ A CB = \frac{8}{10}, tan ∠ A D B = 1$ . Panjang sisi AD adalah...

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

panjang sisi .

panjang sisi A D equals 6 square root of 2 space cm

Pembahasan

Menghitung panjang AD Jadi, panjang sisi .

Menghitung panjang AD

$table attributes columnalign right center left columnspacing 0px end attributes row cell cos angle A C B end cell equals cell fraction numerator B C over denominator A C end fraction end cell row blank equals cell 8 over 10 end cell row cell A B end cell equals cell square root of A C squared minus B C squared end root end cell row blank equals cell square root of 10 squared minus 8 squared end root end cell row blank equals cell square root of 100 minus 64 end root end cell row blank equals cell square root of 36 end cell row blank equals 6 row cell tan angle A D B end cell equals cell fraction numerator A B over denominator B D end fraction end cell row blank equals 1 row cell fraction numerator A B over denominator B D end fraction end cell equals 1 row cell fraction numerator 6 over denominator B D end fraction end cell equals 1 row cell B D end cell equals 6 row cell A B end cell equals cell square root of A B squared plus B D squared end root end cell row blank equals cell square root of 6 squared plus 6 squared end root end cell row blank equals cell square root of 36 cross times 2 end root end cell row blank equals cell 6 square root of 2 space cm end cell end table$

Jadi, panjang sisi A D equals 6 square root of 2 space cm .