Problema Solution

A leather coin purse has the shape of a triangle. Two sides are equal in length and the third side is 3 centimeters shorter than one and one-half times the length of the equal sides. The perimeter is 28.5 centimeters. Find the length of the sides.

Answer provided by our tutors

Let the two sides that are equal to each other be represented by x

The third side will be written as 1.5x - 3. 

These sides add up to 28.5 Cm

So an equation can be written as: 

x + x + 1.5x -3 = 28.5 cm 

Combine like terms: 


3.5x - 3 = 28.5 

Add 3 to both sides: 

3.5x = 31.5 

Divide each side by 3.5: 

x = 9 

Therefore the lengths of the sides are 9 cm, 9 cm and 10.5 cm