Question

ajutați vărog la matematică dau carona​

Answer 1

Răspuns:

Explicație pas cu pas:

a) sin(∡C)=sin(35°)=AB/AC=0,574

AC=10 AB/10=0,574

AB=10×0,574=5,74

AC²=AB²+BC²

10²=5,74²+BC²

100=32,94+BC²

BC²=100-32,94=67.06

BC=√67.06≈8,18

b)cos(∡C)=cos(70°)=BC/AC=0,342

AC=20 BC/20=0,342

BC=20×0,342=6,84

AC²=AB²+BC²

20²=AB²+6,84²

400=AB²+46,78

AB²=400-46,78=353,22

AB=√353,22≈18,79

c) ∡)A+∡B+∡C=180°

40°+90°+∡C=180°

∡C=180°-130°=50°

sin(∡C)=sin(50°)=AB/AC=0,766

AC=100 AB/100=0,766

AB=100×0,766=76,6

AC²=AB²+BC²

100²=76,6²+BC²

10000=5867,56+BC²

BC²=10000-5867,56=4132,44

BC=√4132,44≈64,28

d)∡A+∡B+∡C=180°

∡A+90°+28°=180°

∡A=180°-118°

∡A=62°

cos(∡A)=cos(62°)=AB/AC=0,469

AC=50 AB/50=0,469

AB=50×0,469=23,45

AC²=AB²+BC²

50²=23,45²+BC²

2500=549,9+BC²

BC²=2500-549,9=1950.1

BC=√1950.1≈44.15