amazingsteve
amazingsteve amazingsteve
  • 25-04-2019
  • Mathematics
contestada

what is the value of x?​

what is the value of x class=

Respuesta :

gmany
gmany gmany
  • 28-04-2019

Answer:

x = 4

Step-by-step explanation:

Look at the picture.

We have the triangles 30° - 60° - 90° and 45° - 45° - 90°.

The sides are in proportions:

30° - 60° - 90° ⇒ 1 : √3 : 2

45° - 45° - 90° ⇒ 1 : 1 : √2

======================================================

[tex]SR=ST\sqrt3\to ST\sqrt3=2\sqrt3\qquad\text{divide both sides by}\ \sqrt3\\\\ST=2\\\\TR=2ST\to TR=2(2)=4\\\\RQ=TR\to RQ=4\to x=4[/tex]

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