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:
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 \(\Delta ABC\).
Example:
Consider a triangle \(ABC\) whose sides are \(AB = 4 \ cm\), \(BC = 6 \ cm\) and \(\angle ABC = 120^{\circ}\).
Construction:
Step 1: Draw a base line segment \(BC = 6 \ cm\).
Step 2: Using a protractor, construct \(\angle B = 120^{\circ}\) by drawing the other arm of the angle.
Step 3: Mark a point \(A\) on the other arm such that \(AB = 4 \ cm\).
Step 4: Now, join \(AC\) to get the required triangle.
Thus, \(ABC\) is the required triangle.