In order to create a complete triangle, the sum of the two smaller sides must be greater than the largest side. This can be expressed using the following formula:
(S1) + (S2) > (S3)
We'll begin by inserting the first set of values into the inequality above:
3 + 6 > 10
Simplify the left side:
9 > 10
The inequality (9 > 10) is false. Therefore, the first set of values can be eliminated. Now complete the same process for the next set of values:
3 + 6 > 9 9 > 9
The inequality (9 > 9) is false. Therefore, we can eliminate the second set of values as well. Now complete the same process for the third set of values:
4 + 6 > 9 10 > 9
The inequality (10 > 9) is true. Therefore, we can confirm the third set of values (4 ft - 9 ft - 6ft) as a valid answer.
