Question

If AB = 8 and BC = 24, then AC =

If AB = 17 and AC = 68, then BC =

Answer 1

(i) The length of AC is 32 units, (ii) The length of BC is 51 units.

Explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

`AC = AB + BC`

If we know that
`AB = 8` and
`BC = 24`, then:

`AC = 8 + 24`

`AC = 32`

The length of AC is 32 units.

(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

`AC = AB + BC`

`BC = AC - AB`

If we know that
`AC = 68` and
`AB = 17`, then:

`BC = 68-17`

`BC = 51`

The length of BC is 51 units.