Question

Each of the two equal sides of a triangle are 4 m less than three times the third side.find the dimensions of the triangle, if its Perimeter is 55m.​

Answer 1

Answer:

let the third side of triangle be x m

according to question,second and first sides are 4 less than 3 times of third side.

so,1st and 2nd side = 3x-4

perimeter of triangle = sum of three sides

= 3x-4+3x-4+x=55

= 3x+3x+x-4-4=55

=7x-8=55

=7x=55+8

=7x=63

=x=63/7

=x=9 m

so third side = 9 m

first and second sides are = 3×x-4=3×9-4

=27-4=23 m

therefore the dimensions of triangle are 23 m,23 m and 9 m