Question

AB is 5.61 mm. CD is 2.4684 mm. AD is 11.22 mm. Find BC

Answer 1

`BC=3.1416\ mm`

Explanation:

we know that

`AD=AB+BC+CD` ---> by addition segment postulate

we have

`AB=5.61\ mm\\CD=2.4684\ mm\\AD=11.22\ mm`

substitute the given values

`11.22=5.61+BC+2.4684`

Rewrite as

`11.2200=5.6100+BC+2.4684`

Solve for BC

`11.2200=(5.6100+2.4684)+BC`

`11.2200=8.0784+BC`

`BC=11.2200-8.0784`

`BC=3.1416\ mm`