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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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You mean triangle RST is equilateral?
yes
Where is point X? Is there a figure?

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there
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?
they are perpendicular
Ok.
We are looking for a. |dw:1435246962181:dw|
Have you learned about the ratios of the length of the sides of 30-60-90 triangles?
no
An equilateral triangle is also equiangular, so all angles measure 60 degrees. |dw:1435247132947:dw|
Because of symmetry, the top angles are 30 degrees each |dw:1435247199089:dw|
Triangle RTX is a 30-60-90 triangle. The ratio of the lengths of the sides of a 30-60-90 triangle is: \(1~:~ \sqrt 3~:~ 2\)
The ratio of the lengths of the legs is \(1 ~:~ \sqrt 3\) The long leg is \(\sqrt 3\) times longer than the short leg.
My brain is not understanding this.

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