Question

Fie triunghiul MNP c m(< N)=90 si [Mn]=[NP].
a)Daca MP= 18 cm,calculati MN;
c)Daca MN=8 cm,calculati MP;
b)Daca MP=4 √ 2,calculati NP;
d)Daca NP=10 √2,Calculati MP.

Answer 1

a) ΔMNP - triunghi dreptunghic ⇒ (Teorema lui Pitagora) MP²=MN²+NP²
MN=MP ⇒ MP²=MN√2 ⇒18=MN√2 ⇒ MN=9√2 cm
b) MP=MN√2 ⇒ MP=8√2 cm
c) MP=NP√2  (MN=NP) ⇒ 4√2=NP√2 ⇒NP=4cm
d) MP=NP√2 ⇒MP=10√2·√2 ⇒ MP=10·2=20 cm