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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 class=

Sagot :

Mhanifaidn

Answer:

  • 76

Step-by-step 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
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