Question

Use this information to answer the following two questions. Which measurement is closest to the length of the pond from point X to point Y in meters? Hide All Mathew wants to find the length of a pond. He picks three points and records the measurements, as shown in the diagram. 10 meters Z (22 meters 36 m 14 m 39 meters 50 meters Х

Answer 1

Notice that we have a right triangle drawn on the diagram, then, we can assume that the length of the point is the hypotenuse of the triangle, so we can use the pythagorean theorem to find this lenght:

`\begin{gathered} XY=\sqrt[]{36^2+14^2}=\sqrt[]{1296+196}=\sqrt[]{1492}=38.6\approx39 \\ XY=39m \end{gathered}`

therefore, the length of the pond from point X to point Y is 39 meters