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In triangle XYZ, angle X = 90°, angle Y = 35°. List the sides in increasing order.

Class 9Inequalities in a TriangleGeometry — Triangles
  • AXZ < XY < YZ
  • BYZ < XY < XZ
  • Call equal
  • DXY < XZ < YZ

Step-by-Step Solution

angle Z = 180 - 90 - 35 = 55°. Angles: Y=35 (smallest), Z=55, X=90 (largest). Side opposite Y is XZ (shortest), opposite Z is XY, opposite X is YZ (longest). So increasing order is XZ < XY < YZ.
Answer: A) XZ < XY < YZ

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