Triangle area

A triangle with a perimeter of 69 cm has one side three times shorter than the longest of them and the other 3 cm shorter than the longest of them. Find the area of the triangle.

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You need to know the following knowledge to solve this word math problem:

algebra

equation
system of equations

arithmetic

square root

planimetry

area of a shape
perimeter
triangle
Heron's formula

Grade of the word problem

practice for 13 year olds
practice for 14 year olds

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