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Ex 11.2, 5

Construct a Right triangle whose base is  12 cm and sum of its hypotenuse and other side is 18 cm.

Let triangle be Δ ABC

Given base BC = 12 cm,

∠ B = 90°

 and AB + BC = 18 cm.

Steps of construction

  1. Draw base BC  = 7 cm and at point B make an ∠ XBC = ∠ B = 75°
  2. Cut a line segment BD equal to AB + AC from ray BX.
  3. Join DC. Draw perpendicular bisector PQ of line DC.
  4. Let PQ intersect BD a point A. Join AC.

Then, Δ ABC is the required triangle.


  1. Class 9
  2. Important Questions for Exam - Class 9
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CA Maninder Singh is a Chartered Accountant for the past 7 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .