Tentukan : a. BR = b. PQ =
Penjelasan dengan langkah-langkah:
a. BR/BP = AR/AQ
BR/7 = 16/8
BR = 7 x 16/8
BR = 7 × 2
BR = 14 cm
b. BA/PQ = BR/PR
12/PQ = 14/21
PQ = 12 x 21/14
PQ = 12 x 3/2
PQ = 36/2
PQ = 18 cm
Kesebangunan pada segitiga
- menentukan nilai BR
[tex] \bf \: \frac{br}{bp} = \frac{ra}{aq} [/tex]
[tex] \bf \: \frac{x}{7} = \frac{16}{8} [/tex]
[tex] \bf \: x.8 = 16.7[/tex]
[tex] \bf \: 8x = 112[/tex]
[tex] \bf \: x = \frac{112}{8} [/tex]
[tex] \bf \: x = 14 \: cm[/tex]
jadi panjang br = 14 cm
_____________________________
- menentukan panjang PQ
[tex] \bf \: \frac{ra}{rq} = \frac{ab}{pq} [/tex]
[tex] \bf \: \frac{16}{24} = \frac{12}{x} [/tex]
[tex] \bf \: 16.x = 24.12[/tex]
[tex] \bf \: 16x = 288[/tex]
[tex] \bf \: x = \frac{288}{16} [/tex]
[tex] \bf \: x = 18 \: cm[/tex]
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