Q3 of 17 Page 284

Construct an equilateral triangle, given its side of length of 4.5 cm and justify the construction.

Let us draw an equilateral triangle of side 4.5 cm.

Step of construction:


Step 1: Draw BC = 4.5 cm



Step 2: With B and C as centres and radii equal to BC = 4.5 cm, draw two arcs on the same side of BC, intersecting each other at A.



Step 3: Join AB and AC.



ΔABC is the required equilateral triangle.


Justification:


Since by construction:


AB = BC = CA = 4.5 cm


Therefore ∆ ABC is an equilateral triangle.


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