Question

What is the value of x in the triangle?

Answer 1

3 = x

Explanation:

Well, the two unknown sides share the same size due to the same angle, so now, using the fact we only have the info about one side, we need to do a reverse pythagorean theorem.

`c^(2) = a^(2) + b^(2)`

Our a and b are the same, so I will change them to "x" and combine them.

`c^(2) = 2(x)^(2)`

Now we plug in our "c" and square it ("C" in this case is:
`3√(2)` )

`18 = 2(x)^(2)`

`9 = x^(2)`

3 = x