Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:
Where is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
(1)
If we know that , then the shortest length of the triangle is:
and
Since length is a positive variable, the only possible solution is:
Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.