Analyze the diagram below and complete the instructions that follow.

find the value of x

One of the rules of triangles is that if you have a 45 45 90 angle triangle, the two sides besides the hypotenuse are equal to each other. In this case, one of the sides is equal to x, so other side is equal to x as well. Now, to solve for x, you need to know the Pythagorean theorum:



Both 'a' and 'b' are equal to x, and 'c' is equal to 3, so I'll make the substitutions below:



This can be simplified to:



Now we just solve for x:







Solution: