Question

Giselle has a pendant on her necklace that is shaped like a regular hexagon. On the pendant, there are lines from the center to each vertex that divide it into congruent triangles. Each triangle has an area of 2 square centimeters. What is the area of the pendant? Choices: a.10 square centimeters b.12 square centimeters c.20 square centimeters d.24 square centimeters

Answer 1

Answer:

B; The area of the triangle is 12 square centimeters

Step-by-step explanation:

In this question, we are asked to calculate the area of a pendant in the shape of a regular hexagon which is divided into a number of congruent triangles with each triangle having an area of 2 square centimeters.

The key to answering this question is simply knowing the number of triangles that will be present in the regular hexagon.

Mathematically, since the triangles are congruent and have the same area, this means the triangles must be equal, meaning we have 6 equilateral triangles.

To get the area of the regular hexagon here, we simply multiply the area of one of the triangles by 6.

Mathematically, this is 6 * 2 = 12 square centimeters