# The perimeter of triangle ABC is 59 cm. Side AB is 24 cm. Side BC is 6 cm less than side AB. Find the length of side AC.

1) Let us find out how long the side BC of the triangle ABC has, if it is known that the side AB is 6 cm longer, and the length of the side AB is 24 cm.

24 – 6 = 18 cm.

2) We find out what is the sum of the lengths of the sides BC and AB, if it is known that AB is 24 cm long, and BC has a length of 18 cm.

24 + 18 = 42 cm.

3) Let us find out how long the third side of the AC of the triangle ABC has, if it is known that the perimeter of the triangle is 59 cm, and the sum of the lengths of the first two sides is 42 cm.

59 – 42 = 17 cm.

Answer: The third side of the speaker is 17 cm long.

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