Question

Определение подобных т-ков .Найдите х,у,z

Answer 1

$1\\ frac{BC}{B_1C_1}= frac{x}{A_1C_1} \ \ frac{28}{21}= frac{x}{18} \\ x= frac{28*18}{21}= 24$


$2 \\ frac{N_1K_1}{NK}= frac{2}{1} to k=2 \ \ x=k*MN=2*4=8 \ y=k*NK=2*7=14 \ z=k*MK=2*6=12$


$5\\ P_{MQR}=2+5+4=11 \ \ k= frac{P_{M_1Q_1R_1}}{P_{MQR}} = frac{110}{11}=10 \ \ x=k*QM=10*2=20\y=k*QR=10*5=50 \ z=k*MR=10*4=40$


$6 \\ A_1B_1=6k; B_1C_1=4k; A_1C_1=3k; \ \6k+4k+3k=91 \ 13k=91 \ k=91:13 \ k=7 \ \ x=6k=6*7=42 \ y=4k=4*7=28 \ z=3k=3*7=21$