Respuesta :

Mosrod

Answer:

DE = 15cm.

Step-by-step explanation:

Since both of the triangles are congruent, any ratio between the two sides of a triangle are the same between the two triangles. For example, you can say that the ratio of the sides AC to BC is the same as the ratio of the sides CE to dc on the triangle. You can further conclude that the ratio 8/5 is the same as CE to DE. This would get you [tex]24/x=8/5[/tex], which you can further simplify to [tex]24*5=8x\\120=8x\\15 = x\\[/tex]. So, side DE is 15 centimeters. You would use the same procedure as the above to solve for side AB.