Question

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
<
𝑥
<
42.3

4.67 less than x less than 42.3

4.04<x<80.1
4.04
<
𝑥
<
80.1

4.04 less than x less than 80.1

4.4<x<80.73
4.4
<
𝑥
<
80.73

4.4 less than x less than 80.73

4.67<x<80.73

Answer 1

By the triangle inequality, the third side x must satisfy |42.7 − 38.03| < x < 42.7 + 38.03. Thus

4.67 < x < 80.73.

(So the correct choice is 4.67<x<80.73.)