Construction of a triangle with perimeter and base angles

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To construct a triangle with perimeter and base angles

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 construct the perimeter
  • How do you get the 3 points required for the triangle
  • Why is the half angle constructed at each points
  • Perpendicular bisectors for the two segment formed due to the intersection of the half angles are constructed
  • What do these bisectors mark on the perimeter line
  • How is the required triangle formed using this method

Evaluation at the end of the activity

  • For what values of the angles the triangle is not formed.