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In ∆RST, ∠S = 90°, ∠T = 30°, RT = 12 cm, then find RS. - Geometry Mathematics 2

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Question

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

Sum

Solution


In  ∆RST, ∠S= 90°, ∠T= 30°, RT= 12 cm

∴ By using angle sum property of triangle.

                                      ∠R =60°

∴ By 30° - 60° - 90° theorem,

∴ `l(RS) = 1/2 xx RT`

∴ `=1/2 xx 12`

`l(RS) = 6cm`

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