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Arte-miy333 [17]
3 years ago
13

Triangle XYZ is inscribed in semicircle O shown below such that YZ = 7 and YX = 10. Which of the following

Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0

Answer:

(2)   6.1

tep-by-step explanation:

∠Y is a right angle, so ΔXYZ is a right triangle

XZ^{2} =  XY^{2} + YZ^{2}

XZ^{2}  = 7^{2} + 10^{2} = 49 + 100 = 149

XZ = \sqrt{149} = 12.2

XZ is the diameter of the semicircle, therefore, the radius is 12.2/2 = 6.1

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