Question

Cine ma ajuta si pe mine la exercitiul 1 va rog

Answer 1

Stiim ca MNP este dreptunghic isoscel , m(∡N)=90° si MN≡NP !
a) daca MP=18 ⇒ 18² = MN²+NP² adica 18= √(2·MN²) ⇒ MN=NP=18/√2=9√2

b) pt. MP=4√2 ⇒ 4√2 =√MN²+NP²)=√(2·NP²) ⇒ NP√2=4√2 ⇒ NP=4;

c) pt. MN=8 ⇒ NP=8 ⇒ MP=√(8²+8²)=√(2·8²)=8√2 ;

d) pt. NP=10√2=MN ⇒ NP²+MN² = MP² ⇒ √[2·(10√2)²]=2√10 ;