Answer :

We will use the leg rule

hypotenuse leg

----------------- = --------------------

leg part

y 9+11

------- = -----

11 y

Using cross products

y^2 = 11(20)

y^2 =220

Taking the square root

y = 2 sqrt(55)

Now we can find z using the Pythagorean theorem

11^2 + z^2 = y^2

121 + z^2 = 220

z^2 =99

z = 3 sqrt(11)

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