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