Respuesta :
Answer:
11 < length < 69.
Step-by-step explanation:
If the given 2 lengths are the smallest sides then the third side must be less than 40+29 = 69 units.
If 40 is the greatest side then the third side must be greater than 40-29 = 11 units.
The range in which the length of the third side lies is 11 < Third side < 69.
How to find the range of the third side?
The sum of the lengths of the sides of the triangle would be greater than the third side. The difference between the sides would be less than the third side.
The range of the given triangle is given by:
Sum of the two sides = 29 + 40
= 69
This is the maximum value that the third side can have.
Difference between the two sides = 40 - 29
= 11
This is the minimum value that the third side can have.
Thus we can say that the length of the third side lies between 11 units and 69 units.
Therefore, the range in which the length of the third side lies is 11 units < Third side < 69 units.
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