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Question
Triangle XYZ is right-angled at vertex Z. Calculate the length of YZ, if XY = 13 cm and XZ = 12 cm.
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Solution
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 = `sqrt25"cm"=sqrt(5xx5)` = 5 cm
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