Question

In ∆RST, ∠S = 90° , ∠T = 30° , RT = 12 cm, then find RS and ST.

Answer 1

in ∆RST, ∠S = 900, ∠T = 30° [Given] 

∴ ∠R = 60° [Remaining angle of a triangle] 

∴ ∆RST is a 30° – 60° – 90° triangle.

∴ RS = 1/2 RT [Side opposite to 30°] 

= 1/2 × 12 = 6cm 

Also, ST = √3/2 RT [Side opposite to 60°] 

= √3/2 × 12 = 6√3 cm 

∴ RS = 6 cm and ST = 6√3 cm