To find: the fourth vertex of rectangle ABCD with the help of given information.
Answer to Problem 17WE
The fourth vertex of rectangle is
Explanation of Solution
Given information:
System information:
Calculation:
Quadrilateral rectangle ABCD is a parallelogram.
Diagonal of parallelogram bisect each other.
Consider that:
The midpoint formula here is,
Since,
So,
Put the value in the above equation.
Substitute the values;
Simplify the equations:
Simplify the first equation to get the value of
Hence, the fourth vertex of rectangle will be
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