Question

Diketahui Segitiga ADB Dan Segitiga ADC. Panjang AB=9 AC=12. Hitung panjang BC BD AD

Answer 1

Verified answer

Mapel : Matematika
Kelas : IX SMP
Materi : Kesebangunan

Pembahasan :
Konsep Pythagoras
BC² = AB² + AC²
BC² = 9² + 12²
BC² = 81 + 144
BC = √225
BC = 15 cm

Konsep Kesebangunan
AB² = BD x BC
9² = 15BD
81 = 15BD
BD = 81/15
BD = 27/5 cm
BD = 5,4 cm

AC² = CD x BC
12² = 15BC
144 = 15BC
BC = 144/15
BC = 9,6 cm

AD² = BD x DC
AD² = (27/5) x (144/15)
AD² = (27 x 144)/75
AD² = (9.3 x 144)/(25 . 3)
AD = (3 x 12)/5
AD = 36/5
AD = 7,2 cm