Find the value of x ANSWER IS NOT
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x = 11√2

Step-by-step explanation:

We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):

x * √2  = 22

We can divide by √2 on both sides to get:

x = 22 / √2

To rationalize the denominator, we multiply by √2 / √2 on the right side:

x = 22√2 / 2

This simplifies to:

x = 11√2

11sqrt(2)

Step-by-step explanation:

This is an isosceles right triangle so x=y.

By Pythagorean Theorem, x^2+x^2=22^2.

2x^2=22^2 after combining like terms

x^2=22^2 /2 after dividing 2 on both sides

x=sqrt(22^2 /2) after taking square root of both sides

x=22/sqrt(2)

x=22/sqrt(2) sqrt(2)/sqrt(2)

x=22sqrt(2)/2

x=11sqrt(2)