Answer
Ans. a=6.36cm ,c=12.28cm ∠c=105°
Work Step by Step
Given:-∠A=30°, ∠B=45° b=9cm
We know that
$\frac{a}{SinA}=\frac{b}{SinB}=\frac{c}{SinC}$
For finding the value of a
$\frac{a}{SinA}=\frac{b}{SinB}$
a=$\frac{Sin30°}{Sin45°}×9$
a=6.36cm
We know that sum of all angles of a triangle is 180°
∠A+∠B+∠C=180°
∠C=105°
For finding the value of c
$\frac{a}{SinA}=\frac{c}{SinC}$
c=$\frac{SinC}{SinA}×6.36$
c=12.28cm
