Problema Solution

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

Answer provided by our tutors

let the equal sides be x cm

the third side

1 1/2 times the equal side = 3x/2

3 cm short

3x/2 -3 will be the third side.

...

x+x+3x/2-3=28.5

7x/2 -3 = 28.5

7x/2 = 28.5 +3

7x/2= 31.5

multiply by 2


 

7x = 63

/7

x= 9

x=9 which is the equal side

third side = 9*3/2 - 3

=27/2-3

=13.5 -3

=10.5 is the third side