Constructing Triangles - SSS

The construction of triangle using SSS criteria is possible when all the three sides are known to us.  The requirement for construction are : A ruler and a compass.

Let us consider a triangle ABC, having the measurement of sides equal: AB = 7 cm, BC = 4 cm and CA = 6 cm. The steps for construction of triangle are:

  • Step 1: Mark a point A.
  • Step 2: Measure the length of 7 cm using compass and scale.
  • Step 3: With the help of Compass mark an arc placing pointer at point A.
  • Step 4: Mark a point B on the arc.

Triangle Construction

  • Step 5: Now measure the length of 6 cm.
  • Step 6: Again using compass mark an arc above point B using the same point (A).Triangle Construction
  • Step 7: Measure the length of 4 cm.
  • Step 8: Using the compass placed at point B cut an arc such that it crosses the previous arc.Triangle Construction
  • Step 9: Name the point as C where the two arc cross each other.
  • Step 10: At the end, join the points A, B and C with the help of a ruler to give the required triangle.

Triangle Construction

Thus, you obtain a triangle ABC of the required measurements.

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Practise This Question

For constructing a triangle, we must know two sides and the included angle. Which triangle can be uniquely constructed by knowing two sides and any other angle?