The x-axis contains the base of an equilateral triangle RST. The origin is at S. Vertex T has coordinates (2h, 0) and the y-coordinate of R is g, with g 0.

The x-coordinate of R is

Question

The x-axis contains the base of an equilateral triangle RST. The origin is at S. Vertex T has coordinates (2h, 0) and the y-coordinate of R is g, with g > 0.

The x-coordinate of R is

anonymous · Answer

@abb0t

anonymous · Answer

@abb0t : Can you help, it's bugging me.

anonymous · Answer

We have the side length of the equilateral triangle as 2h.  Dividing it into two right triangles with the altitude to R as the shared leg, we can use the Pythagorean theorem to find the height.
$$(2h)^{2}-h ^{2}=y^{2}$$
Which can be solved to yield$$y=h \sqrt{3}$$

anonymous · Answer

you mean y=h$$\sqrt{2}$$

anonymous · Answer

answer choices:  0        h           2h

anonymous · Answer

$$(2h)^{2}=2^{2}h^{2}=4h^{2}$$
So $$x=\sqrt{3h^{2}}$$

anonymous · Answer

Or y instead of x, sorry.

anonymous · Answer

thanks(: