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
Explanation
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Juguyxczbjn
2 years ago
this is wrong! very wrong!
the correct solvings is
by pythagoras theorem:.
XZ² = WZ² + XW
5² = 4² + XW²
25 = 16 + XW²
mking XW² SOF 25 - 16 = 9
XW² = 9
XW = √9 = 3 cm
then using same pythagoras theorem find XY where YW is YZ - WZ , 10 - 4 = 6
therefore : YX² = XW² + YW²
= 3² + 6²
9 + 36 = 45
YX = √45, √ 9x5 , 3√5
3√5 is the answer.

