Question

Find the missing length. Leave your answer as radical in simplest form

Answer 1

v =
`(7√(2) )/(2)`

u =
`7`

Explanation:

First, the angle on the far left is also 45 degrees.

So, v is equal to
`(7√(2) )/(2)` because this is a 45-45-90 triangle, so the sides opposite the 45-degree angles are congruent.

However, u is the side opposite the 90-degree angle, so it is equal to the other side value, multiplied by
`√(2)`.

So,
`(7√(2))/(2)*√(2)` is equal to:

`7`

Hope this helps!