Falling_In_Katt
  • Falling_In_Katt
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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mathstudent55
  • mathstudent55
You mean triangle RST is equilateral?
Falling_In_Katt
  • Falling_In_Katt
yes
mathstudent55
  • mathstudent55
Where is point X? Is there a figure?

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Falling_In_Katt
  • Falling_In_Katt
1 Attachment
Falling_In_Katt
  • Falling_In_Katt
there
mathstudent55
  • mathstudent55
In the problem, you wrote "TX and RS." but you did not complete the sentence. What are we supposed to know about TX and RS?
Falling_In_Katt
  • Falling_In_Katt
they are perpendicular
mathstudent55
  • mathstudent55
Ok.
mathstudent55
  • mathstudent55
We are looking for a. |dw:1435246962181:dw|
mathstudent55
  • mathstudent55
Have you learned about the ratios of the length of the sides of 30-60-90 triangles?
Falling_In_Katt
  • Falling_In_Katt
no
mathstudent55
  • mathstudent55
An equilateral triangle is also equiangular, so all angles measure 60 degrees. |dw:1435247132947:dw|
mathstudent55
  • mathstudent55
Because of symmetry, the top angles are 30 degrees each |dw:1435247199089:dw|
mathstudent55
  • mathstudent55
Triangle RTX is a 30-60-90 triangle. The ratio of the lengths of the sides of a 30-60-90 triangle is: \(1~:~ \sqrt 3~:~ 2\)
mathstudent55
  • mathstudent55
The ratio of the lengths of the legs is \(1 ~:~ \sqrt 3\) The long leg is \(\sqrt 3\) times longer than the short leg.
Falling_In_Katt
  • Falling_In_Katt
My brain is not understanding this.

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