an equilateral triangle and a regular hexagon share a common side.The perimeter of the triangle is 20 cm what is the perimeter of the hexagon.

Respuesta :

Length of the common side =  20/3 = 6 2/3 cm.

The perimeter of the hexagon = 6 * 6 2/3 =  6 *  20/3

=  120/3

=40 cm answer

The perimeter of the hexagon is 40 cm.

What is perimeter of equilateral triangle?

Perimeter of equilateral triangle is defined as addition the lengths of the equilateral triangle's three sides.

Perimeter of an equilateral triangle = 3A

Let each side of triangle = A

Since perimeter of an equilateral triangle = 3A

The perimeter of given triangle is 20 cm

So 3A = 20

A = 20/3

Thus, each side of triangle = 20/3

The perimeter of the hexagon = 6×side of triangle

The perimeter of the hexagon = 6×(20/3)

The perimeter of the hexagon = 2×20

The perimeter of the hexagon = 40 cm

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