Each side of the regular hexagon below measures 8 cm. what is the area of the hexagon?

Answer

Find out the area of the regular hexagon.

To prove

As given in the question

Hexagon is regular thus it is made up of the six equilateral triangle.

Thus area  of the regular hexagon is 6 times the area of a equilateral triangle.

Each side of the regular hexagon  measures 8 cm.

Formula

where a represented the side.

Therefore the option (a) is correct .

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse