Question

Construct $\Delta PQR$, given $\angle RPQ={30}^{\circ },\overline{PQ}=4.5cm$, and $\angle PQR={45}^{\circ }$ [4 MARKS]

Answer 1

Construction: 2 Marks
Steps: 2 Marks

Step 1: Draw $\overline{PQ}=4.5cm$

Step 2: Construct $\angle XPQ={30}^{\circ }$ and $\angle PQY={45}^{\circ }$

Step 3: Mark the point of intersection of $\overline{XP}$ and $\overline{YQ}$ as R.

PQR is the required triangle.



Thus, we see that if two angles of a triangle and the side included between the two are given, then we can draw a triangle. This is known as ASA criterion of construction of triangles.