Question

fie ABC un triunghic in care m(<B) =90 iar m(<C)=2×m(<A) determinati aria triunghiului ABC daca BC =2 cm​

Answer 1

∡A + ∡C = 90°  } => ∡A + 2∡A = 90° => 3∡A = 90° => ∡A = 30°

∡C = 2∡A

∡A = 30° =>T30° => AC = 2BC = 4 cm

AB = √AC² - BC² = √16 - 4 = √9 = 3 cm

A = AB·BC/2 = 3·2/2 = 6/2 = 3 cm²