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XYZ is a triangle and XW is perpendicular to YZ at = W. If XZ…

XYZ is a triangle and XW is perpendicular to YZ at = W. If XZ = 5cm and WZ = 4cm, Calculate XY.

A.
5(sqrt{3})cm
B.
3(sqrt{5})cm
C.
3(sqrt{3})cm
D.
5cm
E.
6cm

Correct Answer: Option B

Explanation

by Pythagoras theorem, XW = 3cm
Also by Pythagoras theorem, XY² = 6² + 3²
XY² = 36 + 9 = 45
XY = (sqrt{45} = 3 sqrt{3})