Question

XYZ is a triangle, right angled at Z. If YZ = 12 cm. and XZ=5 cm.
Find XY?
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Answer 1

XY = 13

Explanation:

Given, XYZ ia a triangle right angled at Z.

Pythagoras theorem states that,

In a right angled trinagle,

(hypotenuse side)^2 = (opposite side)^2 + (adjacent side)^2

In this triangle,

hypotenuse side = XY

opposite side = YZ

adjacent side = XZ (opp side and adj side can be interchanged)

With the help of pythagoras theorem,

(XY)^2 = (12)^2 + (5)^2

(XY)^2 = 144 + 25

(XY)^2 = 169

(XY)^2 = (13)^2

Therefore, XY = 13

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