Question

1. Правильний трикутник із стороною 6 см повернули на кут 60° навколо його центра. Знайдіть периметр шестикутника, вершинами якого є вершини даного і утвореного трикутників.

Answer 1

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Answer 2

Perimeter of the Hexagon formed by the Triangles

To find the perimeter of the hexagon formed by the triangles, we need to determine the lengths of its sides.

Let's start by finding the length of the side of the equilateral triangle.

Given: - Side of the original equilateral triangle = 6 cm - The equilateral triangle is rotated 60° around its center

To find the length of the side of the rotated triangle, we can use the fact that the angles of an equilateral triangle are all equal to 60°.

Since the triangle is rotated 60°, the side of the rotated triangle will be the same as the side of the original triangle. Therefore, the length of the side of the rotated triangle is also 6 cm.

Now, let's consider the hexagon formed by the triangles.

A hexagon has six sides, and each side is equal in length to the side of the rotated triangle, which is 6 cm. Therefore, the perimeter of the hexagon is:

Perimeter of the hexagon = 6 cm * 6 = 36 cm.

So, the perimeter of the hexagon formed by the triangles is 36 cm.