Answer :

Here, we have been given the perimeter and base angles of the triangle.

Steps of construction are:


1. Draw a line segment using a ruler; locate points P and Q such that PQ = 12 cm.



2. Construct rays PR such that QPR = 65° and QS such that PQS = 85° using compass and then measure it with protractor.



3. Draw the bisectors PL and QM of QPR and PQS respectively. Let it intersect it at A.



4. Draw the perpendicular bisector of AP and AQ and let these intersect PQ at B and C respectively.


In order to draw perpendicular bisector of AP, fix one end of the compass at P at more than half of the length of AP and make a complete circle or arcs on both sides of line AP, and the other end of compass at A and intersect with the previous arcs. Do similar with the line segment AQ. Here, we’ve made complete circles.



5. Join AB and AC.



Thus, ABC is the required triangle.


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