Question

Find the area of an equilateral triangle of side 4cm. correct to two places of decimal (use√3=1.732) ​

Answer 1

Answer:

your answer is 6.928

Step-by-step explanation:

hope it helps u

Answer 2

Answer:

6.928 cm²

Step-by-step explanation:

Using Heron's Formula = $\sqrt{s(s-l)(s-l)(s-l)(s-l)$

s = semi perimeter of the equilateral triangle.

l = length of the equilateral triangle

semi perimeter = $\frac{4+4+4}{2}$ = 6

length of each side = 4 cm $\sqrt6(6-2)(6-2)(6-2)$

= $\sqrt(6)(2)(2)(2)$ = $\sqrt{48$

Prime Factorization of 48 = 2 × 2 × 2 × 2 × 3

$\sqrt{(2)(2)(2)(2)(3)$ = 2 × 2$\sqrt{3}$ = 4$\sqrt{3}$

As given in question √3=1.732

= 4 × 1.732 = 6.928 cm²

So Final Answer Is 6.928 cm²

Hope U Understood