kwelden kwelden
  • 21-11-2021
  • Mathematics
contestada

In the diagram of DGF below, HE||GF, DH=6, DE=4, and EF=16. What is the
length of DG?

In the diagram of DGF below HEGF DH6 DE4 and EF16 What is the length of DG class=

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bhagyasanduni028
bhagyasanduni028 bhagyasanduni028
  • 21-11-2021

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]

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voltrenbtw voltrenbtw
  • 21-11-2021
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.
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