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In the invoice that specifies the side lengths of the triangular sail as 7.5 meters, 4.8 meters, and 2.5 meters, suppose the mistake was in the length of 2.5 meters. Determine the range of values that are possible for the third side length, x, of the sail.

Respuesta :

sqdancefan

Answer:

  2.7 < x < 12.3 meters

Step-by-step explanation:

You want to know the possible lengths of the third side of a triangle, given that two sides are 7.5 m and 4.8 m.

Triangle inequality

The triangle inequality requires the sides of a triangle have the relationship ...

  a + b > c

for any assignment of side lengths to the letters a, b, c. In effect, this means the length of a third side must lie between the sum and the difference of the other two sides.

  7.5 -4.8 < x < 7.5 +4.8

  2.7 < x < 12.3 . . . . . meters

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