Find the missing length as shown in the picture The triangles are similar
I need an explanation

15

Step-by-step explanation:

ΔRST ≈ ΔRDE

RD = 15

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.