Math, asked by Anonymous, 11 months ago

plz answer it fast with solution procedure!!! then the 4th vertex is??​

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Answered by ThinkingBoy
2

(0,0) , (a,0) and (b,c) are the three vertexes of parallelogram taken in order.

Let us name those points.

Let O(0,0) , A(a,0) and B(b,c) be the three vertexes of a parallelogram OABC.

We need to find coordinates of C.

OB and AC are the two diagonals of the parallelogram. We know that diagonals of a parallelogram bisect each other. That is, the diagonals have a common midpoint. Let the midpoint be M(x,y).

By midpoint formula, we can find the coordinates of M.

Midpoint of diagonal OB

x = \frac{0+b}{2} = \frac{b}{2}

y = \frac{0+c}{2} = \frac{c}{2}

So coordinates of M (\frac{b}{2} ,\frac{c}{2}).

This is the midpoint of diagonal AC as well. Let coordinates of C (x',y')

By midpoint formula

\frac{b}{2} = \frac{a+x'}{2}\\  x' = (b-a)

\frac{c}{2} = \frac{0+y'}{2}\\  y' = c

So the fourth vertex is

(b-a , c)

Answered by Anonymous
1

Answer:

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