A surveyor knows that when she sights two sides of a triangular-shaped parcel of land, the lengths are 957 meters and 638 meters. Without surveying the third side, what are the maximum and minimum limits on its lengths?
2007-11-28 10:45:16 · 1 answers · asked by Kaylin H 1 in Education & Reference ➔ Homework Help
When you add two sides of a triangle, they always have to be greater than the length of the last side. So for here, if we have two sides of 638 m and 957 m, the last side has to be smaller than 1595 m.
Now, what if the largest side is 957 m? Then the remaining sides have to add to something less than 957 m. So 957 m - 638 m = 319 m.
So the remaining side has to be between 319 m and 1595 m. The side cannot be 319 m or 1595 m - if you were to draw that out, then you wouldn't have a triangle, since the two sides that we added would be the same length as the remaining side!
2007-11-29 03:55:35 · answer #1 · answered by igorotboy 7 · 0⤊ 0⤋