Question

problema 14 va rog . Este tot de geometrie

Answer 1

a/1 = b/3 = c/5 => b = 3a ; c = 5a

a+b+c=180°

a+3a+5a =180 => 9a = 180 => a = 180:9 => a = 20°

b = 3a = 3x20 = 60° ; b = 60°

c = 5a = 5x20 = 100° ; c = 100°

a+b+c=20°+60°+100° = 180°, corect.

Answer 2

$\dfrac{a}{1} = \dfrac{b}{3} = \dfrac{c}{5} = k \\ \\ \boxed{a=1k} \\ \boxed{b=3k} \\ \boxed{c=5k} \\ \\ \to \text{Intr-un triunghi masura celor 3 unghiuri este egala cu 180} \\ \\ a+b+c = 180 \\ \\ k+3k+5k = 180 \\ 9k = 180 \\ \\ \Rightarrow \boxed {k = 20} \\ \\ \boxed{\boxed{a =k = 20} \\ \boxed{b = 3k = 60} \\ \boxed{c= 5k = 100}}$