Construction of a triangle with side, angle and difference of other two sides

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Difference of two sides and an angle are parameters known, this construction of triangle follows SAS congruence rule.

Objectives

To construct a triangle with side, angle and difference of other two sides

Estimated Time

30 minutes

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)

  • Use the slider to set the base and the given angle
  • The difference of the other two sides is marked using the slider
  • Follow the steps for construction – step1, step2
  • Students can vary the sliders to observe the changes reflected in the triangle.

Evaluation at the end of the activity

  • When does the triangle not form?