Construction of a right triangle with a side and hypotenuse

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Right angle is one of the angles of the triangle the and assimilating other parameters that are required to complete construction. Construction of a triangle based on RH congruence rule.


To construct a right angled triangle with a side and hypotenuse

Estimated Time

Prerequisites/Instructions, prior preparations, if any

Prior understanding of point, lines and angles, elements of triangle, properties of triangle

Materials/ Resources needed

Download this geogebra file from this link.

Process (How to do the activity)

  • To construct a right triangle what parameters are required.
  • How many angles and sides need to be known. How many right angles can be in a triangle?
  • What is side opposite to right triangle called? Is this parameter required to construct a right angled triangle?
  • Can a right triangle be constructed knowing two adjacent sides of a right triangle that are the arms of the right angle.

Evaluation at the end of the activity

  • What is the minimum value of the hypotenuse required to make the triangle