Question

18.Find the area of an equilateral triangle with side 2√3 cm
​

Answer 1

Step-by-step explanation:

• Area of equilateral ∆ (side) = 2√3 cm

Area of an equilateral ∆ = $\frac{√3}{4} \times {a²}$

• $\frac{√3}{4} \times {(2√3)²}$

• $\frac{√3}{4} \times {(4~×~3)}$

• $\frac{√3}{4} \times {12}$

• ${√3} \times {3}$

:. Area of equilateral ∆ = 3√3 cm²

Answer 2

Step-by-step explanation:

Given: side= 2√3cm

area of equilateral triangle=?

area of equilateral triangle=√3×(2√3)²

4

= √3×4×√9

4

= √3×4×3

4

=3√3cm²

therefore,area of an equilateral triangle with side 2√3 cm is 3√3cm²