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What is the value of x?



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Mhanifaidn

Answer:

  • x = 4

Step-by-step explanation:

x has the same value as RT since they are equal sides of the isosceles triangle.

RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.

Acoording to the property of such triangles, the ratio of sides is:

  • a : b : c = 1 : √3 : 2

We have:

  • b = 2√3 and c = RT

Use the ratio to find the lenght of RT

  • 2√3 : RT = √3 : 2
  • RT = 2*2√3/√3
  • RT = 4

So the value of x is 4 units

Find RT

  • sin60=2√3/RT
  • √3/2=2√3/RT
  • RT=4√3/√3
  • RT=4

Now

  • tan45=x/4
  • x=4
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