Find the exact value of x

Step-by-step explanation:

idk what grade you're in but I solved it using a system of equations. there could be an easier method but this is what I did:

1. label each of the sides x, y, z

2. SINCE they're all right angle triangles we can use Pythagorean theorem to create the base generation equation

3. rewrite whole formula in terms of x with y in its components

4. using the mini triangle x can also be rewritten with z in its components

5. equate them together to isolate for a variable, z

6. solve for y by rewriting a formula using the other mini triangle

7. now plug on the equation u isolated with z to get y value

8. plug y back into the formula you wrote in terms of x

to check:

6^2 + 6.71^2

= 81 which equals the hypotenuse of the while triangle