Triangle ABC and MBN shown in the drawing are equilateral. The perimeter of triangle ABC is 15 CM and the perimeter

Triangle ABC and MBN shown in the drawing are equilateral. The perimeter of triangle ABC is 15 CM and the perimeter of triangle MBN is 9 cm. Find the perimeter of quadrilateral amnc.

Since, by condition, the triangles ABC and BMN are equilateral, and their perimeters, respectively, are equal to 15 cm and 9 cm, it is possible to determine the sides of the triangles.

AB = BC = AC = Ravs / 3 = 15/3 = 5 cm.

AM = MN = BN = 9/3 = 3 cm.

Let us determine the lengths of the segments AM and CN.

AM = AB – BM = 5 – 3 = 2 cm.

CN = BC – BN = 5 – 3 = 2 cm.

Let’s define the perimeter of the AMNC quadrangle.

Pamnc = AM + MN + CN + AC = 2 + 3 + 2 + 5 = 12 cm.

Answer: The perimeter of the quadrangle is 12 cm.




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