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34 votes
34 votes
Pls help with this problem

Pls help with this problem-example-1
User Ozik  Abdullaev
by
3.3k points

1 Answer

22 votes
22 votes

Explanation:

every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.

therefore,

angle XVY = 90°.

for VY we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).

XY = 2×ZY = 2×17 = 34.

so,

34² = 30² + VY²

VY² = 34² - 30² = 1156 - 900 = 256

VY = 16

User Jorge Barroso
by
2.8k points