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19-11-2018
Mathematics

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Find the missing side lengths. Leave your answers as radicals in simplest form

Find the missing side lengths Leave your answers as radicals in simplest form class=

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19-11-2018

We have the triangle 30° - 60° - 90°.

The lenght of the sides are in proportion: [tex]1:2:\sqrt3\to a:2a:a\sqrt3[/tex]

[tex]a=y\\2a=x\\a\sqrt3=3\sqrt3\to a=3\\\\2a=2(3)=6[/tex]

Answer: x = 6 and y = 3.

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