Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.
The answers are here:
1. 15
2. 5 cm
3. 9
4. 2,7,6
5. 5.5
There you go have a great night :3
To determine the length of the third side of a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the first two sides measure 10 and 12. Therefore, the third side must be larger than the difference between these two sides and smaller than their sum.
Difference: 12 - 10 = 2
Sum: 10 + 12 = 22
So, the length of the third side must be greater than 2 and smaller than 22.
None of the given choices (1. 15, 2. 5 cm, 3. 9, 4. 2,7,6, 5. 5.5) fall within this range. Therefore, none of these choices are correct for the length of the third side of the triangle.