206k views
8 votes
Triangle inequality proof
/a + b/ ≤ /a/ + /b/

User Womp
by
7.0k points

1 Answer

3 votes

Answer:

a^2+b^2+2|a||b|≥a2+b2+2ab(|a|+|b|)2≥|a+b|2(∵∀x∈R;x2=|x|2)∴|a|+|b|≥|a+b|\

Explanation:

User Pyramid Newbie
by
7.1k points