# Construction of Triangles - Constructing a Triangle When the Lengths of Two Sides and the Measure of the Angle Between Them Are Known. (SAS Criterion)

## Notes

### Constructing a Triangle When the Lengths of Two Sides and the Measure of the Angle Between Them Are Known. (SAS Criterion):

Here, we have two sides given and the one angle between them. We first draw a sketch and then draw one of the given line segments.

1) Construct a triangle PQR, given that PQ = 3 cm, QR = 5.5 cm and ∠PQR = 60°.

Step 1: First, we draw a rough sketch with given measures.

Step 2: Draw a line segment QR of length 5.5 cm.

Step 3: At Q, draw QX making 60° with QR.

Step 4: With Q as centre, draw an arc of radius 3 cm. It cuts QX at point P.

Step 5: Join PR. ∆PQR is now obtained.

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Constructing a Triangle When the Lengths of Two Sides and the Measure of the Angle Between Them Are Known. (SAS Criterion) [00:01:24]
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