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 30 30 24 24 22 22 15 15
We can use the triangle inequality theorem to determine the possible lengths of the third side of the triangle. According to the 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, the first two sides measure 10 and 12. Let's calculate the possible lengths of the third side:
1) 10 + 12 > Third side length (22 > Third side length)
2) 12 + 10 > Third side length (22 > Third side length)
So, the possible lengths for the third side of the triangle are 15, 22, and 24.
The correct lengths from the choices provided are 24 and 22.