For the ASA criterion to be satisfied, the given side must necessarily be the one that is enclosed by the known angles. The criterion does not hold if any of the other sides’ measurements is provided.

Now, coming back to constructing triangles with the ASA criterion, you will require a ruler and a protractor. Let us say, in a triangle ABC, the measures of the angles are ∠CAB = 45 degrees and ∠ABC = 60 degrees. The length of side AB = 3cm. The steps for its construction are as follows:

• Step 1: Using a ruler, construct a line segment AB of length 3 cm.

• Step 2: Using a protractor, draw a ray at point B making 60 degrees with the line BA.

• Step 3: Similarly, draw a ray at point A making 45 degrees with the line AB using a protractor.

• Step 4: Mark the point where the two rays meet as C.

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

Construct a triangle PQR given that PQ=5cm, PQR=45⁰ and RPQ=75⁰