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

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Correct Option
b

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Discussions (3)

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.

Kevmiles
1 year ago

The answer is 3^5 but the sovereign is different

Wilsonwilliams
7 years ago

half of 10 is 5 so its
XY²=3²+5²
=9+25
=34
Xy=√34
Xy=5.8 approximately 6

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