In the standard coordinate plane, the points and form two vertices of an isosceles triangle. Which of the following points could be the third vertex?

Note: Figure is not drawn to scale.

In the figure above, points are collinear and is a right angle. If and is , what is ?

A light beam of pure white light is aimed horizontally at a prism, which splits the light into two streams that diverge at a angle. The split beams each travel exactly from the prism before striking two optic sensors (one for each beam).

What is the distance, in feet, between the two sensors?

Round your final answer to the nearest tenth. Do not round until then.

A triangle has a perimeter of inches with one side of length inches. If the remaining two sides have lengths in a ratio of , what is length of the shortest side of the triangle?