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DFGI is a trapezoid with midsegment EH. What is DI?

D
8 cm
F
7 cm
EH = 6.00 cm
FG = 4.00 cm
5 cm
G
6 cm
H

DFGI is a trapezoid with midsegment EH. What is DI? D 8 cm F 7 cm EH = 6.00 cm FG-example-1
User Ticofab
by
3.7k points

1 Answer

4 votes

Answer:

a. 8 cm

Explanation:

Given:

EH = 6 cm

FG = 4.00 cm

Based on the mid-segment theorem of a trapezoid, we have:

EH = ½(FG + DI)

Plug in the values

6 = ½(4 + DI)

Multiply both sides by 2

6*2 = 4 + DI

12 = 4 + DI

12 - 4 = 4 + DI - 4

8 = DI

DI = 8 cm

User Nilish
by
3.7k points