What is the range of possible sizes for side x?

Question

asked Oct 23, 2021 214k views

1 Answer

Davzaman · Answer 1 · 2021-10-29T11:53:53+0000

Answer:

4<x<12

Explanation:

If a, b, c are three sides of the triangle, then

$a+b>c\\ \\a+c>b\\ \\b+c>a$

In your case, two sides have measures of 4 units and 8 units, then

$4+8>x\\ \\4+x>8\\ \\8+x>4$

Hence,

$12>x\\ \\x>4\\ \\x>-4$

Therefore,

4<x<12