Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.
To determine the length of the third side of a triangle, we can use the Triangle Inequality Theorem. According to this theorem, 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, we have two sides measuring 10 and 12. Let's call the length of the third side "x". Using the theorem, we can set up the following inequality:
10 + 12 > x
Simplifying this inequality, we get:
22 > x
Therefore, the length of the third side must be less than 22.
Since we are given a set of choices, we can look at the options provided and select the length that is less than 22.
AAAaannndd the bot gets it wrong yet again!
If the 3rd side is x, then you need
12-10 < x < 12+10
2 < x < 22
so, yes, 11 is one possibility, but not the only one.