What is the area of this regular hexagon that has been divided into six congruent triangles?
336 cm2
242 cm2
168 cm2
84 cm2
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The area of this hexagon that has been divided into six congruent triangles will be 168 cm².
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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