Answer:
x = (9/2)√2
Explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2