Find the area of an equilateral triangle each of whose sides measures

1.	Find the area of an equilateral triangle each of whose sides measures (i) 18 cm, (ii) 20 cm.
Answer» (i) 18 cm Area of the equilateral triangle = ((√3)/4) × (sides)² sq. Units = (1.73/4) × (18)² [because √3 = 1.73] = (1.73 × 324)/4 = 140.13 cm² (ii) 20 cm Area of the equilateral triangle = ((√3)/4) × (sides)² sq. Units = (1.73/4) × (20)² [because √3 = 1.73] = (1.73 × 400)/4 = 173 cm²

Find the area of an equilateral triangle each of whose sides measures (i) 18 cm, (ii) 20 cm.

Answer»

(i) 18 cm

Area of the equilateral triangle = ((√3)/4) × (sides)² sq. Units

= (1.73/4) × (18)² [because √3 = 1.73]

= (1.73 × 324)/4

= 140.13 cm²

(ii) 20 cm

Area of the equilateral triangle = ((√3)/4) × (sides)² sq. Units

= (1.73/4) × (20)² [because √3 = 1.73]

= (1.73 × 400)/4

= 173 cm²