Question

Calclati lugimea laturii AB a triunghiului dreptunghic in A. Stiind ca AC = 5 si masura unghiului B = 45

Answer 1

m(∡A) = 90°
m(∡B) = 45°
AC = 5 cm
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m(∡C) = ?
AB = ?
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Sin(B) = $\frac{AC}{BC}$
$\frac{ \sqrt{2} }{2} = \frac{5}{BC}$
BC = 5√2

Cos(B) = $\frac{AB}{BC}$
$\frac{ \sqrt{2} }{2} = \frac{AB}{5 \sqrt{2} }$
AB = 5 cm