[Math Lair] Distances Worksheet

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  1. Find the distance between the following points:
    a.(2,4) and (7,3) b. (0,0) and (6,8) c. (-3,4) and (2,-5)
  2. Find the distance between (1,8) and the line segment with endpoints (2,3) and (4,9).
  3. Find the distance between (3,3) and the triangle with vertices (0,0), (2,1) and (1,2).
  4. You want to measure the height of a tall tree in your backyard. It is a sunny day outside, and you may assume that the shadow cast by the tree is clear. You are given a stick of length 1m and a tape measure. How can you calculate the height of the tree?