Question

Dau coroana,va rog mult​

Answer 1

Explicație pas cu pas:

ΔABC ~ ΔMNK

$\dfrac{AB}{MN} = \dfrac{BC}{NK} = \dfrac{AC}{MK} = 1.5$

$\mathcal{P}_{\triangle ABC} = AB+BC+AC = 6+10+12 = 28 \ cm$

$\dfrac{\mathcal{P}_{\triangle ABC}}{\mathcal{P}_{\triangle MNK}} = 1.5 \iff \dfrac{28}{\mathcal{P}_{\triangle MNK}} = 1.5 \\ \mathcal{P}_{\triangle MNK} = \dfrac{28}{1.5} \implies \mathcal{P}_{\triangle MNK} = \dfrac{56}{3} \ cm$