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Question
In ∆RST, ∠S = 90°, ∠T = 30°, RT = 12 cm, then find RS and ST.
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Solution
In ∆RST,
∠S = 90∘, ∠T = 30∘,
∴ ∠R = 60∘
By the 30∘ − 60∘ − 90∘ theorem,
RS = `1/2` RT [Side opposite to 30°]
= `1/2 xx 12`
= 6 cm ...(i)
Also,
ST = `sqrt3/2` [Side opposite to 60°]
= `sqrt3/2 xx 12`
= `6sqrt3` cm ...(ii)
∴ RS = 6 cm and ST = `6sqrt3` cm
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