The sides of a triangle are related as 5:11:14. Find the sides of a similar triangle if its perimeter is 120 cm

Similar triangles are triangles in which the corresponding sides are proportional, and the corresponding angles are equal.

Since in such triangles the corresponding sides are proportional, and the perimeter of the ABC triangle is 120 centimeters, then we express its sides as follows:

5x – length of side AB;

11x – the length of the aircraft side;

14x – the length of the speaker side;

5x + 11x + 14x = 120;

30x = 120;

x = 120/30 = 4;

AB = 5 * 4 = 20 cm;

BC = 11 * 4 = 44 cm;

AC = 14 * 4 = 56 cm.

Answer: the sides of a triangle with a perimeter of 120 cm are equal to 20 cm, 44 cm, 56 cm.