Find the value of x and y
I don’t know how

x = 2√30, y = 2√21

Step-by-step explanation:

You can create the following equations:

(1) from the left triangle with sides x, y and 6:

y² + 6² = x²

(2) from the right triangle with sides y, 14 and... lets call it z:

y² + 14² = z²

(3) from the big triangle:

x² + z² = 20²

(4) Combine (2) and (3) to eliminate z:

x² + y² + 14² = 20²

combine (1) and (4) to eliminate x:

y² + 6² + y² + 14² = 20²

simplify

2y² = 20² - 6² - 14² = 168

y² = 84

y = √84 = 2√21

x² = y² + 6² = 84 + 36 = 120

x = √120 = 2√30

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