Question

ajutoor va roog
exercitiile 16 si 17.

Answer 1

13 ) Daca cele doua triunghiuri sunt asemenea => AB / MN = BC/NP = AC / MP = k,
dar AΔABC / AΔMNP = k² =>
k = √AΔABC / AΔMNP
k = √16 / 25
k = 4/5
14 )Din raporturile de asemanare  ,k = 2 <=> AB / MN = 2 => MN = AB / 2 => MN = 8 / 2 => MN = 4 cm
=> BC / NP = 2 => NP = BC / 2 => NP = 9 / 2 => NP = 4,5 cm;
=> AC/ MP = 2 => MP = AC / 2 => MP = 7 / 2 => MP= 3,5 cm;
PΔMNP = MN + NP + MP 
= 4 + 4,5 + 3, 5
= 4  + 8
= 12 cm