Question

How do I find the missing sides on this special triangle?

Answer 1

x = 6

y =
`3√(2)`

Explanation:

Thats a 45 45 90 triangle, one of my favorite and you'll come to miss it later because of how easy it is.

See the file provided for the trick

Because
`3√(2)` falls where a 1 is in the diagram that means y is also
`3√(2)` because you multiply
`3√(2)` by 1, and to get x you'll multiply the value we're given,
`3√(2)`, by the value in the spot in the given diagram,
`√(2)`.

`3√(2)` ×
`√(2)`

Note; a radical multiplied by itself is the value in the radical

Therefore,

`3√(2)` ×
`√(2)` = 3(2) = 6

Thus x = 6

The explanation for this;

`√(2)` *
`√(2)` =
`√(2)^2`

And if you square a square root you have its square root times its square root squared, which if it was
`√(4)^2` it'd ultimately be
`(2)^2` which is 2x2 which equals 4

Hope this helps