Q4 of 59 Page 64

Construct a triangle XYZ in which XY = 7.8 cm, YZ = 4.5 cm and XZ = 9.5 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 as AB (say).



2. Locate points X and Y such that XY = 7.8 cm on AB.



3. With X as centre and radius 9.5 cm, draw a circle or semicircle or an arc (as drawn in the figure) using a compass.



4. With Y 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 Z.



6. Join XZ and YZ.



Thus, XYZ is the required triangle.


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