Q3 of 59 Page 65

Construct a triangle XYZ in which XY = 5 cm, YZ = 5.5 cm and ∠XYZ = 100°.

We have been given two sides and one angle of triangle XYZ.

Steps of construction for this case would be:


1. Draw a line segment sufficiently long using a ruler.



2. Locate points Y and Z such that YZ = 5.5 cm on the previously drawn line segment using a ruler.



3. At Y, construct a line segment YP, sufficiently large, such that ∠PYZ = 100°; use protractor to measure the angle 100°.



4. With Y as centre and radius 5 cm, draw a circle or a semicircle or an arc cutting the line segment YP at X using a compass and a protractor.



5. Join ZX.



Thus, XYZ is the required triangle.


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