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DiKsa [7]
2 years ago
10

Find the coordinates of the missing endpoint if B is the midpoint of AC. C(5/3,-6),B(8/3,4)

Mathematics
1 answer:
lions [1.4K]2 years ago
8 0

Given :

C(\dfrac{5}{3},-6)\ , \ B(\dfrac{8}{3},4) .

B is the mid-point of AC .

To Find :

The missing endpoint if B is the midpoint of AC.

Solution :

Let , coordinate of point A is ( h, k) .

So , mid-point B is given by :

(\dfrac{\dfrac{5}{3}+h}{2},\dfrac{-6+k}{2})

Comparing above point with B(\dfrac{8}{3},4) , we get :

\dfrac{\dfrac{5}{3}+h}{2}=\dfrac{8}{3}\\\\h+\dfrac{5}{3}=\dfrac{16}{3}\\\\h=\dfrac{11}{3}        \dfrac{-6+k}{2}=4\\\\k=14

Therefore , the value of point A is (\dfrac{11}{3},14) .

Hence , this is the required solution .

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