Question

Solve The Triangle (See Picture!!)

Answer 1

Explanation:

use sin formula

`(a)/(sin \alpha ) =(b)/(sin \beta ) =(c)/(sin \gamma) \\(10)/(sin~40) =(12)/(sin ~\beta ) \\sin~\beta =(12)/(10) * sin~40\\ \beta=sin^(-1)(1.2 sin ~40)\approx 50.5 ^\circ\\\gamma=180-(40+50.5)=89.5^\circ\\(c)/(sin~89.5)=(10)/(sin~40) \\c=(sin~89.5)/(sin ~40) * 10 \approx 15.6\\D`