Find the range of values for the third side of a triangle if two of its sides measure 42.7 mm and 38.03 mm.(1 point)
Responses
4.67<x<42.3
4.67 less than x less than 42.3
4.04<x<80.1
4.04 less than x less than 80.1
4.67<x<80.73
4.67 less than x less than 80.73
4.4<x<80.73
4.67 less than x less than 80.73
To find the range of values for 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.
For this problem, we have two sides measuring 42.7 mm and 38.03 mm.
To find the maximum value for the third side, we add the two given sides:
42.7 mm + 38.03 mm = 80.73 mm
So the maximum value for the third side is 80.73 mm.
To find the minimum value for the third side, we subtract the smaller given side from the larger given side:
42.7 mm - 38.03 mm = 4.67 mm
So the minimum value for the third side is 4.67 mm.
Therefore, the range of values for the third side of the triangle is 4.67 mm < x < 80.73 mm.
Therefore, the correct answer is: 4.67 less than x less than 80.73