Two polygons are congruent and the perimeter of the first polygon is 24 cm. If the sides of the second polygon are consecutive integers (x, x+1, x+2, x+3, etc.), what value of x makes the polygons into congruent triangles? Use x as the smallest side.

Question

directrix · Answer

If the polygons are congruent, they have corresponding sides congruent. Hence, their perimeters will be equal. 

x+ x+1+  x+2 = 24
3x + 3 = 24
3x = 21 
 x = 7
7, 8, 9 are the sides