celinelove1 celinelove1
  • 20-08-2021
  • Mathematics
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13. In ADGE,DG = 8,GE = 17, and DE = 15. What is the length of DF? Round to the nearest hundredth.

13 In ADGEDG 8GE 17 and DE 15 What is the length of DF Round to the nearest hundredth class=

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jcherry99
jcherry99 jcherry99
  • 20-08-2021

Answer:

Step-by-step explanation:

The trick is not to get all caught up in Pythagoras. There is a much simpler way to do it. Find the area of the triangle two different ways. DG and DE are at right angles. That is one way to find area. The other is use the height (DF) and multiply that by the hypotenuse GE.

DG*DE/2 = GE * DF/2            Multiply both sides by 2

DG*DE = GE * DF

DG = 8

DE = 15

GE = 17

8*15 = 17* DF

120 = 17 * DF                         Divide by 17

120/17 = DF

DF = 7.06

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