In ∆XYZ,∠X=70° ,∠Y=30° .Which of the following is correct statement? *
XZ > YZ > XY
YZ > XZ > XY
XZ > XY > YZ
XY > YZ > XZ
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Answer:
XY > YZ > XZ
Step-by-step explanation:
given ∆XYZ having ∠X=70° and ∠Y=30°
we know, ∠X + ∠Y + ∠Z = 180°
=> 70°+30° + ∠Z = 180°
=> 100° + ∠Z = 180°
=> ∠Z = 180°- 100°
=> ∠Z = 80°
so, ∠Z > ∠X > ∠Y
hence, the side opposite to the angles follows the same rule,
=> XY > YZ > XZ
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