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

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###### Question:

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

## Answers

Answer:ED = 4 unitsStep-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 = 2yThus, 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 ~ ∆CEDUsing the ratio of the corresponding sides of ∆CAB to ∆CED = (2:1), measure of segment ED is calculated below:AB/ED = 2/18/ED = 2/1Cross multiply8 × 1 = 2 × EDDivide both sides by 28/2 = EDED = 4 units

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