question_answer

Construct \[\Delta \]XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Answer:

Given, three sides of ΔXYZ are XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm. To construct a triangle, we use the following steps :

Step I: Firstly, we draw a rough sketch of triangle with given measures marked on it.

Step II: Draw a line segment YZ of length 5 cm

i.e., YZ = 5 cm.

Step III: With Y as centre and radius 4.5 cm, draw an arc.

Step IV: With Z as centre and radius 6 cm, draw another arc to cut the previous arc at X.

Step V: Join XY and ZX.

Hence, ΔXYZ is the required triangle.