Question

What is the value of x in the triangle?

Answer 1

Answer:

3 = x

Step-by-step 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: $3\sqrt{2}$ )

$18 = 2(x)^{2}$

$9 = x^{2}$

3 = x