HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

3 0

Answer:

ED = 4 units

Step-by-step explanation:

Observing the figure given to us, we can deduce the following:

=>CE = EA (because point E is the midpoint of CA)

Therefore, if CE = EA = x unit, CA = 2x

=>Also, CD = DB (because point D is the midpoint of CB)

Therefore, if CD = DB = y, CB = 2y

Thus, CA/CE = CB/CD = 2 (2x/x = 2y/y)

Going by the above ration we got comparing the ratio of the corresponding sides of ∆CAB and ∆CED (2:1), we can conclude that ∆CAB ~ ∆CED

Using the ratio of the corresponding sides of ∆CAB to ∆CED = (2:1), measure of segment ED is calculated below:

AB/ED = 2/1

8/ED = 2/1

Cross multiply

8 × 1 = 2 × ED

Divide both sides by 2

8/2 = ED

ED = 4 units

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