Question

In triangle RST,angleS=90•,angle T=30•,RT=12cm then fund RS and St.

Answer 1

Here is your answer

Answer 2

Answer:RS =6cm

ST = 6√3 cm

Step-by-step explanation:

in Δ RST angle ∠S =90° and ∠T =30°

so ∠R = 60°

given that

RT =12 cm

so

$\sin 60° = \frac{ST}{RT}\\\\\frac{\sqrt{3}}{2}=\frac{ST}{12}\\\\ST = 6\sqrt{3}$

and

$\cos 60 =\frac{RS}{RT}\\\\\frac{1}{2}=\frac{RS}{12}\\\\RS = 6$