In a triangle ABC shown below, side AB is 8 and side AC is 4

 c) AD = 4 and AE = 2

Step-by-step explanation:

To prove that DE = (1/2) BC, we need to use a proportion that shows that      AB = (1/2)AC     and     AE = (1/2)AD

We are given that AB = 8 and AC = 4 so we need AE = (1/2)AD

a) AD = 4, AE = 8

                         8 = (1/2)4

                         8 = 2          FALSE

b) AD = 2, AE = 4

                         4 = (1/2)2

                         4 = 1          FALSE

c) AD = 4, AE = 2

                         2 = (1/2)4

                         2 = 2          TRUE!

d) AD = 2, AE = 2

                         2 = (1/2)2

                         2 = 1          FALSE

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step-by-step explanation:

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