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Question

Construct ΔPQR, given ¯¯¯¯¯¯¯¯PQ=3.5 cm,¯¯¯¯¯¯¯¯PR=3 cm, and RPQ=120

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Solution

Draw ¯¯¯¯¯¯¯¯PQ=3.5 cm

Construct XPQ=120 with your compass.

With P as centre, draw an arc with radius equal to 3 cm that intersects ¯¯¯¯¯¯¯¯¯XP at point R.

Join ¯¯¯¯¯¯¯¯¯RQ

PQR is the required triangle.


Thus, we see that if two sides of a triangle are given and the measure of the angle between these two sides is also given, then we can construct a triangle. This is known as SAS criterion for construction of triangles.

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