Q3 of 59 Page 64

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

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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1

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Construct an equilateral triangle of side 4.8 cm.

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Construct a triangle XYZ in which XY = 7.8 cm, YZ = 4.5 cm and XZ = 9.5 cm.

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Construct a triangle whose perimeter is 12 cm and the ratio of their sides is 3:4:5.