Question

In triangle xyz is right angled at vertex z .calculate the length of yz, if : xy=13cm and xz=12cm.

Answer 1

Here at vertex Z, there is right angle

Therefore,

By pythagoras theorem

$( {xy}^{2} ) = ( {xz}^{2} ) +( {zy}^{2} )$

Putting values,

$( {13}^{2} ) = ( {12}^{2} ) + ( {zy)}^{2}$

169 = 144

$169 = 144 + ( {zy}^{2} )$

$169 - 144 = ( {zy)}^{2}$

$( {zy}^{2} ) = 25$

$zy = \sqrt{25}$

$zy = 5cm$

Hope it helps you

Answer 2

Answer:Given,

XY= 13cm

XZ=12cm

YZ=?

YZ=(XY)- (XZ)

=(13)- 12)cm

=169-144cm

=25cm

=25=5×5

Step-by-step explanation: