Question

I have no clue how to do this can you please show the steps?​

Answer 1

Let's consider the information at hand:

• the triangle is a 45-45-90 triangle

⇒ has some special property about its side length

⇒ look at the diagram I attached

Using the same ratios of side length as seen in the diagram:

⇒ we get the equation:

`(1)/((√(2) )/(2) ) =(x)/(3√(2) ) \\(√(2) )/(2)*x=3√(2) \\(x)/(2)=3\\ x=3*2\\x=6`

Thus x = 6.

Answer: x = 6

Hope that helps!