Answer:
x = (√2)
Step-by-step explanation:
Note that this is a 45-45-90 triangle, and that
cos 45 = adjacent side / hypotenuse. We want to find the value of x, which happens to be the adjacent side.
Recall (or look up) that cos 45 = 1/(√2). Thus:
1 / (√2) = x / 2. Solve for x by multiplying both sides by 2:
2 / (√2) = x
We want the answer as a fraction with ratinal denominator. To obtain this, multiply both numerator and denominator by (√2):
x = (√2)
