Question

Based on the given information, what is the measure of the missing length, w?

See the attached image! :)

Answer 1

`w=16\ units`

Explanation:

we know that

In the right triangle ABC of the figure

Applying the Pythagoras Theorem

`AC^(2)=AB^(2)+BC^(2)`

substitute the given values

`20^(2)=w^(2)+12^(2)`

Solve for w

`400=w^(2)+144`

`w^(2)=400-144`

`w^(2)=256`

`w=16\ units`