Question

sa se determine lungimea laturii Ab triunghiului abc stiind ca ac=radical din 2, mC=60 mb=45 ​

Answer 1

Explicație pas cu pas:

$\frac{AB}{ \sin( \hat C)} = \frac{AC}{ \sin( \hat B)} \iff \frac{AB}{ \sin(60 \degree)} = \frac{ \sqrt{2} }{ \sin(45 \degree)} \\ AB = \frac{ \sqrt{2} \times \frac{ \sqrt{3} }{2} }{ \frac{ \sqrt{2} }{2} } \implies \bf AB = \sqrt{3}$

Answer 2

ABC triunghi

AC=√2

∠C=60⁰

∠B=45⁰

AB=?

AB/sinC=AC/sinB

AB/√3/2=√2/√2/2

AB=(√2×(√3/2))/(√3/2)=3

AB=3