Which inequality shows all possible values for the measure of the third side, x, in inches?

Question

asked Nov 9, 2022 169k views

1 Answer

Dly · Answer 1 · 2022-11-12T18:39:58+0000

Answer:

26 > c > 58

Explanation:

Given

a,b =42; 16 --- 2 sides

Required

The inequality for the third side

To do this, we make use of:

a + b < c

a + c < b

b + c < a

So, we have:

42 + 16 < c

16 + c < 42

42 + c < 16

This gives:

58 < c

c < 26

c<-26

The usable inequalities are:

c < 26 and
58 < c

Rewrite:

c < 26 and
c > 58

So, the inequality is:

26 > c > 58