Question

if aobc is a rectangle whose three vertices are a (0,3),o(0,0)and b(5,0)then the coordinate of c is -?????

Answer 1

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Answer 2

The coordinates of c are (5,3).

Step-by-step explanation:

It is given that AOBC is a rectangle whose three vertices are A(0,3), O(0,0) and B(5,0).

Let coordinates of C are (x,y).

In a rectangle, diagonals bisect each other. It means midpoint of AB and OC are same.

$Midpoint =(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

Midpoint of AB = Midpoint of OC

$(\dfrac{0+5}{2},\dfrac{3+0}{2})=(\dfrac{0+x}{2},\dfrac{0+y}{2})$

$(\dfrac{5}{2},\dfrac{3}{2})=(\dfrac{x}{2},\dfrac{y}{2})$

On comparing both sides.

$x=5,y=3$

Therefore, the coordinates of c are (5,3).

#Learn more

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