In an isosceles triangle XYZ, if XY = XZ and YZ2= 2XZ2 , then find the measure of angle X.
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ANSWER
∠XZY=90
∘
XY
2
=XZ
2
+YZ
2
(Using Pythagoras Theorem)
(26)
2
=(24)
2
+YZ
2
YZ
2
=676−576
YZ=10cm
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