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Question

Construct a triangle XYZ in which Y = 30°, Z = 90° and XY + YZ + ZX = 11 cm.


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Solution

The steps to draw the triangle of given measurement is as follows:

  1. Draw a line segment AB which is equal to XY + YZ + ZX = 11 cm.
  2. Make an angle Y = 30° from point A and the angle be LAB
  3. Make an angle Z = 90° from point B and the angle be MAB
  4. Bisect LAB and MAB at point X.
  5. Now take the perpendicular bisector of the line XA and XB and the intersection point be Y and Z respectively.
  6. Join XY and XZ
  7. Therefore, XYZ is the required triangle.


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