Question

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

Answer 1

• 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