Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.(1 point)
Responses
15
15
24
24
22
22
30
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.
To find the length of the third side, we need to add the lengths of the first two sides and then subtract that sum from the total length of the triangle.
10 + 12 = 22
So, the length of the third side must be greater than 22.
Among the given choices, the closest value greater than 22 is 24.
Therefore, the length of the third side is 24.