in triangle XYZ is right angled at Z, if XY = 25 cm and XYZ = 10 cm then find ZY
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Here at vertex Z, there is right angle
Therefore,
By pythagoras theorem
( {xy}^{2} ) = ( {xz}^{2} ) +( {zy}^{2} )(xy
2
)=(xz
2
)+(zy
2
)
Putting values,
( {13}^{2} ) = ( {12}^{2} ) + ( {zy)}^{2}(13
2
)=(12
2
)+(zy)
2
169 = 144
169 = 144 + ( {zy}^{2} )169=144+(zy
2
)
169 - 144 = ( {zy)}^{2}169−144=(zy)
2
( {zy}^{2} ) = 25(zy
2
)=25
zy = \sqrt{25}zy=
25
zy = 5cmzy=5cm
Hope it helps you
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