Q. 13.7( 19 Votes )

# Construct a

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 = 50° and QS such that PQS = 80° using compass and then measure it with protractor. 3. Draw the bisectors PL and QM of QPR and PQS respectively using a protractor and a ruler. 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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