Question

Triangle ABC above has side a = 1 and side c = 2. What constraints does the triangle inequality theorem put on side b?

Answer 1

Answer:

$3 > b$

Step-by-step explanation:

Given

$a = 1$

$c = 2$

Required

Inequality to measure the length of b

The triangle inequality theorem states that:

$a + b > c$

$a + c > b$

$b + c > a$

On side b, we make use of:

$a + c > b$

Substitute values for a ad c

$1 + 2 > b$

$3 > b$

The inequality is: $3 > b$