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secondary 3 | E Maths
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secondary 3 chevron_right E Maths chevron_right Singapore

Isit length of (D+E)/2=F? But coordinates how?

Date Posted: 2 months ago
Views: 26
Young
Young
2 months ago
Yes. (X-coord of D+X-coord of E)/2 = X-coord of F
Do the same for the y-coord.

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Sam Sum
Sam Sum's answer
17 answers (Tutor Details)
1st
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Eric Nicholas K
Eric Nicholas K's answer
1259 answers (Tutor Details)
We equate the two lengths using the length formula for straight lines connecting two points. Since both sides are equal, the square roots can be removed.

A special case is only when D, E and F are all on the same straight line, in which we can use the simpler midpoint formula instead.
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2 months ago
Oh, I see. Thanks!
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Chua Tze Ren
Chua Tze Ren's answer
15 answers (Tutor Details)
For this question, you can't just divide the X and y coordinates of D and E by 2 because the question did not state that F is the midpoint of DE.
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2 months ago
Thanks so much! It's a very clear step-by-step working!