Question

In Triangle ABC right angled at B
AB= 5cm and angleACB - 30°
Determine the lengths of the
side BC and AC​

Answer 1

Answer:

given,In∆ABC

AB=5cm,

angleACB=30°

then,

BC=?,

AC=?

sin(theta)=opp.side÷hypotenuse

sin30°=AB÷AC

1÷2=5÷AC

AC=5×2

AC=10

tan(theta)=opp.side÷adj.side

tan30°=AB÷BC

1÷√3=5÷BC

BC=5√3

therefore,AC=10,BC=5√3