Construction of a right triangle with a side and hypotenuse

From Karnataka Open Educational Resources

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.

Objectives

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