Respuesta :

Step-by-step explanation:

[tex] \frac{de}{df} = \frac{dh}{dg} \\ \frac{4}{16} = \frac{6}{dg} \\ dg = \frac{6 \times 16}{4} \\ dg = 24[/tex]

the ratio of the sides of the smaller triangle vs the larger triangle is 1:5 because when the smaller triangles side is 4, the larger one is 20. We could use this information to multiply the hypotenuse of the smaller triangle by 5 to get the hypotenuse of DFG, which is 30.