Question

Triangle XYZ is right angled at Z. If XZ = 5cm and XY = 13cm, then find the length of YZ


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Answer 1

Answer:

Given: ∆XYZ right angled at Z and XY = 13 cm, XZ = 12 cm.

To find: Length of YZ.

According to Pythagoras Theorem,

XY2 = XZ2 + YZ2

132 = 122 + YZ2

169 = 144 +YZ2

169 - 144 = YZ2

25 = YZ2

∴ YZ = √25cm √5x5 = 5 cm

Answer 2

Step-by-step explanation:

since tr. XYZ is a rt. angled tr.

therefore, we apply pythagores theorem

now,

(XY)/\2= (ZY)/\2+(XZ)/\2

=>(13)/\2=(ZY)/\2+(5)/\2

=>169=25+(ZY)/\2

=>169-25=(ZY)/\2

=>144=(ZY)/\2

=>ZY=12