Given the figure where triangles ABC, ECD, and DFG are congruent, the perimeter of triangle ABC is 124 units, EF measures 24 units, and AD measures 14 units, find the length of AB in units.
Three triangles, congruent they are,
Equal in size, near or far,
Their perimeters, oh so grand,
Are equal, in every land.
The sides of each triangle match,
Equal in length, without a scratch,
Their angles too, a perfect match,
Three congruent triangles, what a catch!
To find the perimeter of this trio,
We add up the sides, oh so easy, though,
Three times the sum, we need to know,
And the answer will beautifully show.
Congruent triangles, a wonder to see,
In every shape, in every degree,
And through their congruence, we can see,
The beauty of math, in all its glory.