Q. 33.5( 10 Votes )

# Construct a triangle PQR, given that PQ = 5.6 cm, PR = 7 cm and QR = 4.5 cm.

Answer :

We follow several steps in construction to ensure a proper figure.

These are:

1. Draw a line segment sufficiently long using a ruler, name it XY (say).

2. Locate points P and Q such that PQ = 5.6 cm on XY.

3. With P as centre and radius 7 cm, draw a circle or semicircle or an arc (as drawn in the figure) using a compass.

4. With Q as centre and radius 4.5 cm, draw another circle or semicircle or arc using a compass.

5. These two circles or semicircles or arcs cut at a point, name it as R.

6. Join PR and QR.

Thus, PQR is the required triangle.

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