What is the area of this regular hexagon that has been divided into six congruent triangles?

336 cm2
242 cm2
168 cm2
84 cm2

What is the area of this regular hexagon that has been divided into six congruent triangles 336 cm2 242 cm2 168 cm2 84 cm2 class=

Respuesta :

The answer would be 336cm^2

The area of this hexagon that has been divided into six congruent triangles will be 168 cm².

What is a hexagon?

A closed two-dimensional polygon with six sides is what is known as a hexagon in geometry.

Types of Hexagons

1. Regular Hexagon ⇒ It is a regular hexagon when the lengths of all the sides and the measures of all the angles are equal.

2. Irregular Hexagon ⇒ The length of the sides and the measure of the angles are not equal in an irregular hexagon.

Given that hexagon with a side of 7cm and the height of each triangle is 8cm.

Area of one triangle = (1/2)× base × height

⇒   (1/2) × 7 × 8

28 cm²

Now the area of the complete hexagon is 28 × 6 = 168 cm² hence, the area of the given hexagon will be  168 cm².

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