Let us learn how to construct a triangle if the measures of \(2\) of its sides and the angle between them are known.
Procedure to construct a triangle using Side-Angle-Side criterion:
Let us constructs a \(\Delta ABC\)(say) with \(AB = x \ cm\), \(AC = y \ cm\), and \(\angle A = z^{\circ}\).Step - 1: Construct the base line segment \(AB\) with one of the side lengths. Let us choose \(AB = x \ cm\).
Step - 2: Using a protractor, construct \(\angle A = z^{\circ}\) by drawing the other arm of the angle.
Step -3: Mark a point \(C\) on the other arm such that \(AC = y \ cm\).
Step - 4: Now, join \(AC\) to get the required triangle \(\Delta ABC\).
Step - 2: Using a protractor, construct \(\angle A = z^{\circ}\) by drawing the other arm of the angle.
Step -3: Mark a point \(C\) on the other arm such that \(AC = y \ cm\).
Step - 4: Now, join \(AC\) to get the required triangle \(\Delta ABC\).
Let us learn how to construct a triangle if the measures of \(2\) of its angles and the length of the side included between them are known.
Procedure to construct a triangle using Angle-Side-Angle criterion:
Let us constructs a \(\Delta ABC\)(say) with \(AB = x \ cm\), \(\angle A = y^{\circ}\), and \(\angle B = z^{\circ}\).Step - 1: Construct the base line segment \(AB = x \ cm\).
Step - 2: Place the protractor at \(A\) and construct \(\angle A = y^{\circ}\) by drawing the other arm of the angle.
Step -3: Place the protractor at \(B\) and construct \(\angle B = z^{\circ}\) by drawing the other arm of the angle.
Step - 4: Mark the intersecting point of the two arms as the vertex \(C\). Thus, \(\Delta ABC\) is the required triangle.
Step - 2: Place the protractor at \(A\) and construct \(\angle A = y^{\circ}\) by drawing the other arm of the angle.
Step -3: Place the protractor at \(B\) and construct \(\angle B = z^{\circ}\) by drawing the other arm of the angle.
Step - 4: Mark the intersecting point of the two arms as the vertex \(C\). Thus, \(\Delta ABC\) is the required triangle.