Question

Ajutațimă vă rog mult model de rezolvare în atașament.

1. M € [AB] 2. AB=24cm
AB/AB=5/11 C € [AB]
AM/MB=?? AC/BC=1/5
AC=??
BC=??

( € ) 》aparține
( / ) 》 fracție ​

Answer 1

1.

$\dfrac{MB}{AB}=\dfrac{5}{11} \Rightarrow \dfrac{\red{MB}}{AB-\red{MB}}=\dfrac{\red{5}}{11-\red{5}} \Rightarrow \dfrac{MB}{AM}=\dfrac{5}{6}$

Intoarcem fractia si obtinem :

$\dfrac{MB}{AM}=\dfrac{5}{6} \Rightarrow \red{\dfrac{AM}{MB}=\dfrac{6}{5}}$

2.

$\dfrac{AC}{BC}=\dfrac{1}{5} \Rightarrow BC=5AC$

$AB=BC+AC=5AC+AC=6AC=24 \Big|:6$

$\red{AC=4 \Rightarrow BC=5AC=5\cdot 4 =20 }$