Find the perimeter of triangle ABC if AB = 2.4, and the side length BC is 0.4 cm more than AB, but 1.2 less than AC.

univerkov | September 6, 2021 | education

The length of the BC side is 0.4 cm more than AB (AB = 2.4 cm), we calculate the BC length:

BC = AB + 0.4 = 2.4 + 0.4 = 2.8 (cm).

The length of the BC side is 1.2 cm less than the AC, which means that the AC is 1.2 cm longer than the BC. Let’s calculate the length of the speaker:

AC = BC + 1.2 = 2.8 + 1.2 = 4 (cm).

The perimeter of a triangle is the sum of the lengths of all sides:

P = AB + BC + AC = 2.4 + 2.8 + 4 = 9.2 (cm).

Answer: The perimeter of triangle ABC is 9.2 cm.

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