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

Mathematics

Leah

27 November, 08:40

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

+2

Answers (2)

Know the Answer?

Clara Meyers · 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.

Haley Mendez · 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).