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XYZ is a triangle and XW is perpendicular to YZ at = W. I...

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

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

View answer & explanation

Correct answer is B

by Pythagoras theorem, XW = 3cm

Also by Pythagoras theorem, XY² = 6² + 3²

XY² = 36 + 9 = 45

XY = $\sqrt{45} = 3 \sqrt{3}$

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