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4. Find DH. D E F + 5x + 3 15x – 29 G H

4. Find DH. D E F + 5x + 3 15x – 29 G H
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24 votes
4. Find DH.
D
E
F
+
5x + 3
15x – 29
G
H

4. Find DH. D E F + 5x + 3 15x – 29 G H-example-1
User Sandip Solanki
by
8.4k points

1 Answer

8 votes

Answer:

  • 76

Explanation:

E is the midpoint of DF and G is the midpoint of FH, therefore EG is the midsegment of triangle DFH, parallel to DH.

The length of the midsegment is half of the parallel side of the triangle:

  • EG = 1/2DH

Substitute values and solve for x:

  • 5x + 3 = 1/2(15x - 29)
  • 10x + 6 = 15x - 29
  • 5x = 35
  • x = 7

Find the length of DH:

  • DH = 15*7 - 29 = 105 - 29 = 76
User Vasily Hall
by
8.0k points
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