Question

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

Answer 1

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