Question

Find the area of a regular hexagon each of whose sides measures 5cm. (3√=1.732)

Answer 1

Answer:

We Know that in a regular hexagon , there are six equilateral triangle of identical to each other.

        ar[hexagon] = 6 * ar[equilateral triangle]

   => ar [hexagon] = 6 * (√3/4  * a² )       { ar[equilateral ] = √3/4  * a²  }

   => ar [hexagon] = 3√3/2 * (5)²

   => ar [hexagon] = 2.598 * 25 = 64.950 cm² (Ans.)

        Hope it helps

please mark as brainliest

Answer 2

Step-by-step explanation:

$given3 \sqrt{} = 1.732 \\ given \: one \: side = 5cm \\ area \: of \: hexagon = 3 \sqrt{ \frac{3}{2} } \times {a}^{2} \\ \: \: \: \: \: \: \: \: \: = 3 \sqrt{ \frac{3}{2} } \times 5 \times 5 \ \\ = 3 \sqrt{ \frac{3}{2} } \times 25 \\ = 3(1.732) \times 25 \\ = 5.196 \times 25$

do last step with your own

I hope it will help you