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25 votes
25 votes
Could someone help answer only the triangle that is circled? Thanks!

Could someone help answer only the triangle that is circled? Thanks!-example-1
User Hieu Nguyen
by
2.7k points

1 Answer

20 votes
20 votes

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)

User Joe Savona
by
2.6k points