The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas. True or false

Question

Gaven Jacobson

Mathematics

24 February, 08:25

The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas. True or false

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Answers (2)

Know the Answer?

Emma Wilkerson · Answer 1

The given statement is true.

Step-by-step explanation:

The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas.

This is true.

Breaking down in 7 triangles and adding separately the areas of these triangles, will give the complete area of the heptagon. We can also find the area of one triangle and multiply that by 7 to get the same result.

Jacquelyn Oconnell · Answer 2

True

Step-by-step explanation:

The area of a regular polygon is found by multiplying 1/2 times the apothem times the perimeter. The area for a single triangle is 1/2 times the height (which is the same as the apothem of a regular polygon) times the base (which is one of the sides of the regular polygon which you are multiplying by to find the perimeter of the polygon).