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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unknown endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.) midpoint ​(8​,5​), endpoint ​(​10,​8)

Respuesta :

Sueraiuka

Step-by-step explanation:

Hey, there!!

Here, one point is A(10,8) and P(8,5) is the midpoint.

Let B(x,y) be the another end point.

Now,

Using midpoint formulae,

[tex]p(x.y) = \frac{x1 + x2}{2} . \frac{y1 + y2}{2} [/tex]

[tex]p(8.5) = ( \frac{10 + x}{2} . \frac{8 + y}{2} )[/tex]

Since they are equal,equating with their corresponding elements we get,

[tex]8 = \frac{10 + x}{2} [/tex]

or, 16 = 10 + x

or, x=16-10

Therefore, x = 6

Now,

[tex]5 = \frac{8 + y}{2} [/tex]

or, 10 = 8 + y

or, y = 2

Therefore, The coordinates of another point are B(6,2)

Hope it helps .....

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