Question

Exercitiu 1 va rog frumos

Answer 1

Daca 
m(A)=55°,m(B)=60° => m(C)=180-m(A)-m(B)=180-55-60=65

daca 
m(M)=55°,m(P)=65°, => m(N)=180-m(M)-m(P)=180-55-65=60

=> m(A)=m(M)=55°
m(B)=m(N)=60°
m(C)=m(P)=65°
=> ΔABC si ΔMNP sunt asemenea

Answer 2

a) ∡A+∡B+∡C=180° ⇒ ∡C=180-35-60=85°
ΔABC si Δ MNP
∡A≡∡M
∡C≡∡P⇒ U.U⇒ ΔABC ~ ΔMNP

b)∡A+∡B+∡C=180° ⇒ ∡A=180-71-62=47°
ΔABC siΔ MNP
∡B≡∡N ,dar ∡A≠∡M ⇒ ΔABC si ΔMNP nu sunt asemenea

c) ∡A+∡B+∡C=180° ⇒ ∡B=180-37°30'-50=130° - 37°30'=92°30'
ΔABC siΔ MNP
∡C≡∡P, dar ∡B≠∡N⇒ ΔABC si ΔMNP nu sunt asemenea

d)∡M+∡N+∡P=180° ⇒∡N=180°-28°-96°=56°
ΔABC si ΔMNP
AB/MN=BC/NP
∡B≡∡N ⇒ LUL⇒ ΔABC~ΔMNP

e) AC=MP=5 cm
∡N=180°-40°-70°=70° ⇒ ∡B≡∡N
ΔABC si ΔMNP
AB/MN=AC/MP
∡B≡∡N⇒ LUL⇒ΔABC~ΔMNP