XYZ is a triangle and XW is perpendicular to YZ at = W. If XZ = 5cm and WZ = 4cm, Calculate XY.
Attached Figure / Diagram
A
5\(\sqrt{3}\)cm
B
3\(\sqrt{5}\)cm
C
3\(\sqrt{3}\)cm
D
5cm
E
6cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
by Pythagoras's theorem, XW = 3cm
Also by Pythagoras theorem, XY2 = 62 + 32
XY2 = 36 + 9 = 45
XY = \(\sqrt{45} = 3 \sqrt{5}\)
Source: Myschool Past Questions Archive (Record #32785)