Question
Construct ΔPQR, given ∠RPQ=30∘,¯¯¯¯¯¯¯¯PQ=4.5 cm, and ∠PQR=45∘ [4 MARKS]
Answer:
:
Construction: 2 Marks
Steps: 2 Marks
Step 1: Draw ¯¯¯¯¯¯¯¯PQ=4.5cm
Step 2: Construct ∠XPQ=30∘ and ∠PQY=45∘
Step 3: Mark the point of intersection of ¯¯¯¯¯¯¯¯¯XP and ¯¯¯¯¯¯¯¯¯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.
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:
Construction: 2 Marks
Steps: 2 Marks
Step 1: Draw ¯¯¯¯¯¯¯¯PQ=4.5cm
Step 2: Construct ∠XPQ=30∘ and ∠PQY=45∘
Step 3: Mark the point of intersection of ¯¯¯¯¯¯¯¯¯XP and ¯¯¯¯¯¯¯¯¯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.
Was this answer helpful ?
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